id	sid	tid	token	lemma	pos
american_scientific_journal-6692	1	1	90	90	NUM
american_scientific_journal-6692	1	2	american	american	ADJ
american_scientific_journal-6692	1	3	scientific	scientific	ADJ
american_scientific_journal-6692	1	4	research	research	NOUN
american_scientific_journal-6692	1	5	journal	journal	NOUN
american_scientific_journal-6692	1	6	for	for	ADP
american_scientific_journal-6692	1	7	engineering	engineering	NOUN
american_scientific_journal-6692	1	8	,	,	PUNCT
american_scientific_journal-6692	1	9	technology	technology	NOUN
american_scientific_journal-6692	1	10	,	,	PUNCT
american_scientific_journal-6692	1	11	and	and	CCONJ
american_scientific_journal-6692	1	12	sciences	science	NOUN
american_scientific_journal-6692	1	13	(	(	PUNCT
american_scientific_journal-6692	1	14	asrjets	asrjet	NOUN
american_scientific_journal-6692	1	15	)	)	PUNCT
american_scientific_journal-6692	1	16	issn	issn	PROPN
american_scientific_journal-6692	1	17	(	(	PUNCT
american_scientific_journal-6692	1	18	print	print	NOUN
american_scientific_journal-6692	1	19	)	)	PUNCT
american_scientific_journal-6692	1	20	2313	2313	NUM
american_scientific_journal-6692	1	21	-	-	SYM
american_scientific_journal-6692	1	22	4410	4410	NUM
american_scientific_journal-6692	1	23	,	,	PUNCT
american_scientific_journal-6692	1	24	issn	issn	PROPN
american_scientific_journal-6692	1	25	(	(	PUNCT
american_scientific_journal-6692	1	26	online	online	ADJ
american_scientific_journal-6692	1	27	)	)	PUNCT
american_scientific_journal-6692	1	28	2313	2313	NUM
american_scientific_journal-6692	1	29	-	-	SYM
american_scientific_journal-6692	1	30	4402	4402	NUM
american_scientific_journal-6692	1	31	©	©	PROPN
american_scientific_journal-6692	1	32	global	global	ADJ
american_scientific_journal-6692	1	33	society	society	NOUN
american_scientific_journal-6692	1	34	of	of	ADP
american_scientific_journal-6692	1	35	scientific	scientific	ADJ
american_scientific_journal-6692	1	36	research	research	NOUN
american_scientific_journal-6692	1	37	and	and	CCONJ
american_scientific_journal-6692	1	38	researchers	researcher	NOUN
american_scientific_journal-6692	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PRON
american_scientific_journal-6692	1	40	introducing	introduce	VERB
american_scientific_journal-6692	1	41	a	a	DET
american_scientific_journal-6692	1	42	matrix	matrix	NOUN
american_scientific_journal-6692	1	43	and	and	CCONJ
american_scientific_journal-6692	1	44	its	its	PRON
american_scientific_journal-6692	1	45	characteristics	characteristic	NOUN
american_scientific_journal-6692	1	46	s.	s.	PROPN
american_scientific_journal-6692	1	47	m.	m.	PROPN
american_scientific_journal-6692	1	48	naser	naser	PROPN
american_scientific_journal-6692	1	49	*	*	PROPN
american_scientific_journal-6692	1	50	department	department	PROPN
american_scientific_journal-6692	1	51	of	of	ADP
american_scientific_journal-6692	1	52	mathematics	mathematics	PROPN
american_scientific_journal-6692	1	53	,	,	PUNCT
american_scientific_journal-6692	1	54	bangladesh	bangladesh	PROPN
american_scientific_journal-6692	1	55	university	university	PROPN
american_scientific_journal-6692	1	56	of	of	ADP
american_scientific_journal-6692	1	57	engineering	engineering	NOUN
american_scientific_journal-6692	1	58	and	and	CCONJ
american_scientific_journal-6692	1	59	technology	technology	NOUN
american_scientific_journal-6692	1	60	,	,	PUNCT
american_scientific_journal-6692	1	61	bangladesh	bangladesh	NOUN
american_scientific_journal-6692	1	62	email	email	NOUN
american_scientific_journal-6692	1	63	:	:	PUNCT
american_scientific_journal-6692	1	64	s.m.naser.090313@gmail.com	s.m.naser.090313@gmail.com	X
american_scientific_journal-6692	2	1	abstract	abstract	ADV
american_scientific_journal-6692	2	2	when	when	SCONJ
american_scientific_journal-6692	2	3	we	we	PRON
american_scientific_journal-6692	2	4	take	take	VERB
american_scientific_journal-6692	2	5	only	only	ADV
american_scientific_journal-6692	2	6	the	the	DET
american_scientific_journal-6692	2	7	real	real	ADJ
american_scientific_journal-6692	2	8	constants	constant	NOUN
american_scientific_journal-6692	2	9	of	of	ADP
american_scientific_journal-6692	2	10	a	a	DET
american_scientific_journal-6692	2	11	linear	linear	ADJ
american_scientific_journal-6692	2	12	equation	equation	NOUN
american_scientific_journal-6692	2	13	or	or	CCONJ
american_scientific_journal-6692	2	14	a	a	DET
american_scientific_journal-6692	2	15	system	system	NOUN
american_scientific_journal-6692	2	16	of	of	ADP
american_scientific_journal-6692	2	17	linear	linear	ADJ
american_scientific_journal-6692	2	18	equations	equation	NOUN
american_scientific_journal-6692	2	19	and	and	CCONJ
american_scientific_journal-6692	2	20	make	make	VERB
american_scientific_journal-6692	2	21	an	an	DET
american_scientific_journal-6692	2	22	array	array	NOUN
american_scientific_journal-6692	2	23	then	then	ADV
american_scientific_journal-6692	2	24	it	it	PRON
american_scientific_journal-6692	2	25	becomes	become	VERB
american_scientific_journal-6692	2	26	a	a	DET
american_scientific_journal-6692	2	27	matrix	matrix	NOUN
american_scientific_journal-6692	2	28	.	.	PUNCT
american_scientific_journal-6692	3	1	there	there	PRON
american_scientific_journal-6692	3	2	are	be	VERB
american_scientific_journal-6692	3	3	different	different	ADJ
american_scientific_journal-6692	3	4	types	type	NOUN
american_scientific_journal-6692	3	5	of	of	ADP
american_scientific_journal-6692	3	6	matrix	matrix	NOUN
american_scientific_journal-6692	3	7	which	which	PRON
american_scientific_journal-6692	3	8	is	be	AUX
american_scientific_journal-6692	3	9	identified	identify	VERB
american_scientific_journal-6692	3	10	and	and	CCONJ
american_scientific_journal-6692	3	11	defined	define	VERB
american_scientific_journal-6692	3	12	based	base	VERB
american_scientific_journal-6692	3	13	on	on	ADP
american_scientific_journal-6692	3	14	the	the	DET
american_scientific_journal-6692	3	15	structure	structure	NOUN
american_scientific_journal-6692	3	16	consisting	consist	VERB
american_scientific_journal-6692	3	17	elements	element	NOUN
american_scientific_journal-6692	3	18	in	in	ADP
american_scientific_journal-6692	3	19	different	different	ADJ
american_scientific_journal-6692	3	20	ways	way	NOUN
american_scientific_journal-6692	3	21	and	and	CCONJ
american_scientific_journal-6692	3	22	existing	exist	VERB
american_scientific_journal-6692	3	23	in	in	ADP
american_scientific_journal-6692	3	24	different	different	ADJ
american_scientific_journal-6692	3	25	positions	position	NOUN
american_scientific_journal-6692	3	26	.	.	PUNCT
american_scientific_journal-6692	4	1	this	this	DET
american_scientific_journal-6692	4	2	research	research	NOUN
american_scientific_journal-6692	4	3	paper	paper	NOUN
american_scientific_journal-6692	4	4	will	will	AUX
american_scientific_journal-6692	4	5	briefly	briefly	ADV
american_scientific_journal-6692	4	6	discuss	discuss	VERB
american_scientific_journal-6692	4	7	on	on	ADP
american_scientific_journal-6692	4	8	a	a	DET
american_scientific_journal-6692	4	9	matrix	matrix	NOUN
american_scientific_journal-6692	4	10	different	different	ADJ
american_scientific_journal-6692	4	11	from	from	ADP
american_scientific_journal-6692	4	12	other	other	ADJ
american_scientific_journal-6692	4	13	types	type	NOUN
american_scientific_journal-6692	4	14	of	of	ADP
american_scientific_journal-6692	4	15	matrix	matrix	NOUN
american_scientific_journal-6692	4	16	described	describe	VERB
american_scientific_journal-6692	4	17	in	in	ADP
american_scientific_journal-6692	4	18	various	various	ADJ
american_scientific_journal-6692	4	19	books	book	NOUN
american_scientific_journal-6692	4	20	and	and	CCONJ
american_scientific_journal-6692	4	21	papers	paper	NOUN
american_scientific_journal-6692	4	22	.	.	PUNCT
american_scientific_journal-6692	5	1	some	some	DET
american_scientific_journal-6692	5	2	important	important	ADJ
american_scientific_journal-6692	5	3	properties	property	NOUN
american_scientific_journal-6692	5	4	and	and	CCONJ
american_scientific_journal-6692	5	5	characteristics	characteristic	NOUN
american_scientific_journal-6692	5	6	of	of	ADP
american_scientific_journal-6692	5	7	this	this	DET
american_scientific_journal-6692	5	8	matrix	matrix	NOUN
american_scientific_journal-6692	5	9	are	be	AUX
american_scientific_journal-6692	5	10	included	include	VERB
american_scientific_journal-6692	5	11	in	in	ADP
american_scientific_journal-6692	5	12	this	this	DET
american_scientific_journal-6692	5	13	paper	paper	NOUN
american_scientific_journal-6692	5	14	.	.	PUNCT
american_scientific_journal-6692	6	1	keywords	keyword	NOUN
american_scientific_journal-6692	6	2	:	:	PUNCT
american_scientific_journal-6692	6	3	matrix	matrix	NOUN
american_scientific_journal-6692	6	4	;	;	PUNCT
american_scientific_journal-6692	6	5	perimeter	perimeter	NOUN
american_scientific_journal-6692	6	6	matrix	matrix	NOUN
american_scientific_journal-6692	6	7	;	;	PUNCT
american_scientific_journal-6692	6	8	new	new	ADJ
american_scientific_journal-6692	6	9	type	type	NOUN
american_scientific_journal-6692	6	10	of	of	ADP
american_scientific_journal-6692	6	11	matrix	matrix	NOUN
american_scientific_journal-6692	6	12	.	.	PUNCT
american_scientific_journal-6692	7	1	1	1	X
american_scientific_journal-6692	7	2	.	.	X
american_scientific_journal-6692	7	3	introduction	introduction	NOUN
american_scientific_journal-6692	7	4	and	and	CCONJ
american_scientific_journal-6692	7	5	reviews	review	VERB
american_scientific_journal-6692	7	6	the	the	DET
american_scientific_journal-6692	7	7	role	role	NOUN
american_scientific_journal-6692	7	8	of	of	ADP
american_scientific_journal-6692	7	9	matrices	matrix	NOUN
american_scientific_journal-6692	7	10	in	in	ADP
american_scientific_journal-6692	7	11	linear	linear	ADJ
american_scientific_journal-6692	7	12	algebra	algebra	NOUN
american_scientific_journal-6692	7	13	and	and	CCONJ
american_scientific_journal-6692	7	14	its	its	PRON
american_scientific_journal-6692	7	15	application	application	NOUN
american_scientific_journal-6692	7	16	is	be	AUX
american_scientific_journal-6692	7	17	so	so	ADV
american_scientific_journal-6692	7	18	huge	huge	ADJ
american_scientific_journal-6692	7	19	that	that	SCONJ
american_scientific_journal-6692	7	20	it	it	PRON
american_scientific_journal-6692	7	21	can	can	AUX
american_scientific_journal-6692	7	22	be	be	AUX
american_scientific_journal-6692	7	23	said	say	VERB
american_scientific_journal-6692	7	24	that	that	SCONJ
american_scientific_journal-6692	7	25	it	it	PRON
american_scientific_journal-6692	7	26	is	be	AUX
american_scientific_journal-6692	7	27	the	the	DET
american_scientific_journal-6692	7	28	soul	soul	NOUN
american_scientific_journal-6692	7	29	of	of	ADP
american_scientific_journal-6692	7	30	linear	linear	PROPN
american_scientific_journal-6692	7	31	algebra	algebra	PROPN
american_scientific_journal-6692	7	32	.	.	PUNCT
american_scientific_journal-6692	8	1	the	the	DET
american_scientific_journal-6692	8	2	applications	application	NOUN
american_scientific_journal-6692	8	3	of	of	ADP
american_scientific_journal-6692	8	4	matrices	matrix	NOUN
american_scientific_journal-6692	8	5	cover	cover	VERB
american_scientific_journal-6692	8	6	not	not	PART
american_scientific_journal-6692	8	7	only	only	ADV
american_scientific_journal-6692	8	8	the	the	DET
american_scientific_journal-6692	8	9	field	field	NOUN
american_scientific_journal-6692	8	10	of	of	ADP
american_scientific_journal-6692	8	11	mathematics	mathematic	NOUN
american_scientific_journal-6692	8	12	but	but	CCONJ
american_scientific_journal-6692	8	13	also	also	ADV
american_scientific_journal-6692	8	14	other	other	ADJ
american_scientific_journal-6692	8	15	fields	field	NOUN
american_scientific_journal-6692	8	16	of	of	ADP
american_scientific_journal-6692	8	17	science	science	NOUN
american_scientific_journal-6692	8	18	and	and	CCONJ
american_scientific_journal-6692	8	19	real	real	ADJ
american_scientific_journal-6692	8	20	life	life	NOUN
american_scientific_journal-6692	8	21	such	such	ADJ
american_scientific_journal-6692	8	22	as	as	ADP
american_scientific_journal-6692	8	23	–	–	PUNCT
american_scientific_journal-6692	8	24	probability	probability	NOUN
american_scientific_journal-6692	8	25	theory	theory	NOUN
american_scientific_journal-6692	8	26	and	and	CCONJ
american_scientific_journal-6692	8	27	statistics	statistic	NOUN
american_scientific_journal-6692	8	28	,	,	PUNCT
american_scientific_journal-6692	8	29	electronics	electronic	NOUN
american_scientific_journal-6692	8	30	,	,	PUNCT
american_scientific_journal-6692	8	31	engineering	engineering	NOUN
american_scientific_journal-6692	8	32	,	,	PUNCT
american_scientific_journal-6692	8	33	computer	computer	NOUN
american_scientific_journal-6692	8	34	science	science	NOUN
american_scientific_journal-6692	8	35	,	,	PUNCT
american_scientific_journal-6692	8	36	cryptography	cryptography	NOUN
american_scientific_journal-6692	8	37	,	,	PUNCT
american_scientific_journal-6692	8	38	wireless	wireless	ADJ
american_scientific_journal-6692	8	39	communication	communication	NOUN
american_scientific_journal-6692	8	40	[	[	X
american_scientific_journal-6692	8	41	1	1	NUM
american_scientific_journal-6692	8	42	]	]	PUNCT
american_scientific_journal-6692	8	43	etc	etc	X
american_scientific_journal-6692	8	44	.	.	X
american_scientific_journal-6692	8	45	are	be	AUX
american_scientific_journal-6692	8	46	some	some	DET
american_scientific_journal-6692	8	47	most	most	ADV
american_scientific_journal-6692	8	48	important	important	ADJ
american_scientific_journal-6692	8	49	fields	field	NOUN
american_scientific_journal-6692	8	50	.	.	PUNCT
american_scientific_journal-6692	9	1	matrix	matrix	NOUN
american_scientific_journal-6692	9	2	has	have	AUX
american_scientific_journal-6692	9	3	been	be	AUX
american_scientific_journal-6692	9	4	used	use	VERB
american_scientific_journal-6692	9	5	by	by	ADP
american_scientific_journal-6692	9	6	different	different	ADJ
american_scientific_journal-6692	9	7	mathematicians	mathematician	NOUN
american_scientific_journal-6692	9	8	all	all	ADV
american_scientific_journal-6692	9	9	over	over	ADP
american_scientific_journal-6692	9	10	the	the	DET
american_scientific_journal-6692	9	11	world	world	NOUN
american_scientific_journal-6692	9	12	from	from	ADP
american_scientific_journal-6692	9	13	ancient	ancient	ADJ
american_scientific_journal-6692	9	14	time	time	NOUN
american_scientific_journal-6692	9	15	till	till	SCONJ
american_scientific_journal-6692	9	16	now	now	ADV
american_scientific_journal-6692	9	17	.	.	PUNCT
american_scientific_journal-6692	10	1	in	in	ADP
american_scientific_journal-6692	10	2	this	this	DET
american_scientific_journal-6692	10	3	section	section	NOUN
american_scientific_journal-6692	10	4	some	some	DET
american_scientific_journal-6692	10	5	reviews	review	NOUN
american_scientific_journal-6692	10	6	of	of	ADP
american_scientific_journal-6692	10	7	matrices	matrix	NOUN
american_scientific_journal-6692	10	8	are	be	AUX
american_scientific_journal-6692	10	9	included	include	VERB
american_scientific_journal-6692	10	10	.	.	PUNCT
american_scientific_journal-6692	11	1	1.1	1.1	NUM
american_scientific_journal-6692	11	2	.	.	PUNCT
american_scientific_journal-6692	11	3	matrix	matrix	NOUN
american_scientific_journal-6692	11	4	writing	write	VERB
american_scientific_journal-6692	11	5	the	the	DET
american_scientific_journal-6692	11	6	real	real	ADJ
american_scientific_journal-6692	11	7	constants	constant	NOUN
american_scientific_journal-6692	11	8	of	of	ADP
american_scientific_journal-6692	11	9	a	a	DET
american_scientific_journal-6692	11	10	linear	linear	ADJ
american_scientific_journal-6692	11	11	equation	equation	NOUN
american_scientific_journal-6692	11	12	or	or	CCONJ
american_scientific_journal-6692	11	13	a	a	DET
american_scientific_journal-6692	11	14	system	system	NOUN
american_scientific_journal-6692	11	15	of	of	ADP
american_scientific_journal-6692	11	16	linear	linear	ADJ
american_scientific_journal-6692	11	17	equations	equation	NOUN
american_scientific_journal-6692	11	18	in	in	ADP
american_scientific_journal-6692	11	19	rectangular	rectangular	ADJ
american_scientific_journal-6692	11	20	array	array	NOUN
american_scientific_journal-6692	11	21	is	be	AUX
american_scientific_journal-6692	11	22	a	a	DET
american_scientific_journal-6692	11	23	matrix	matrix	NOUN
american_scientific_journal-6692	11	24	.	.	PUNCT
american_scientific_journal-6692	12	1	all	all	DET
american_scientific_journal-6692	12	2	the	the	DET
american_scientific_journal-6692	12	3	elements	element	NOUN
american_scientific_journal-6692	12	4	of	of	ADP
american_scientific_journal-6692	12	5	a	a	DET
american_scientific_journal-6692	12	6	matrix	matrix	NOUN
american_scientific_journal-6692	12	7	is	be	AUX
american_scientific_journal-6692	12	8	called	call	VERB
american_scientific_journal-6692	12	9	is	be	AUX
american_scientific_journal-6692	12	10	called	call	VERB
american_scientific_journal-6692	12	11	entries	entry	NOUN
american_scientific_journal-6692	12	12	[	[	X
american_scientific_journal-6692	12	13	2,3	2,3	NUM
american_scientific_journal-6692	12	14	]	]	PUNCT
american_scientific_journal-6692	12	15	.	.	PUNCT
american_scientific_journal-6692	13	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-6692	14	1	*	*	PUNCT
american_scientific_journal-6692	14	2	corresponding	correspond	VERB
american_scientific_journal-6692	14	3	author	author	NOUN
american_scientific_journal-6692	14	4	.	.	PUNCT
american_scientific_journal-6692	15	1	american	american	PROPN
american_scientific_journal-6692	15	2	scientific	scientific	ADJ
american_scientific_journal-6692	15	3	research	research	PROPN
american_scientific_journal-6692	15	4	journal	journal	NOUN
american_scientific_journal-6692	15	5	for	for	ADP
american_scientific_journal-6692	15	6	engineering	engineering	NOUN
american_scientific_journal-6692	15	7	,	,	PUNCT
american_scientific_journal-6692	15	8	technology	technology	NOUN
american_scientific_journal-6692	15	9	,	,	PUNCT
american_scientific_journal-6692	15	10	and	and	CCONJ
american_scientific_journal-6692	15	11	sciences	science	NOUN
american_scientific_journal-6692	15	12	(	(	PUNCT
american_scientific_journal-6692	15	13	asrjets	asrjet	NOUN
american_scientific_journal-6692	15	14	)	)	PUNCT
american_scientific_journal-6692	15	15	(	(	PUNCT
american_scientific_journal-6692	15	16	2021	2021	NUM
american_scientific_journal-6692	15	17	)	)	PUNCT
american_scientific_journal-6692	15	18	volume	volume	NOUN
american_scientific_journal-6692	15	19	77	77	NUM
american_scientific_journal-6692	15	20	,	,	PUNCT
american_scientific_journal-6692	15	21	no	no	DET
american_scientific_journal-6692	15	22	1	1	NUM
american_scientific_journal-6692	15	23	,	,	PUNCT
american_scientific_journal-6692	15	24	pp	pp	ADV
american_scientific_journal-6692	15	25	90	90	NUM
american_scientific_journal-6692	15	26	-	-	SYM
american_scientific_journal-6692	15	27	94	94	NUM
american_scientific_journal-6692	15	28	91	91	NUM
american_scientific_journal-6692	15	29	let	let	VERB
american_scientific_journal-6692	15	30	the	the	DET
american_scientific_journal-6692	15	31	following	follow	VERB
american_scientific_journal-6692	15	32	system	system	NOUN
american_scientific_journal-6692	15	33	of	of	ADP
american_scientific_journal-6692	15	34	linear	linear	PROPN
american_scientific_journal-6692	15	35	equations	equation	NOUN
american_scientific_journal-6692	15	36	then	then	ADV
american_scientific_journal-6692	15	37	the	the	DET
american_scientific_journal-6692	15	38	matrix	matrix	NOUN
american_scientific_journal-6692	15	39	of	of	ADP
american_scientific_journal-6692	15	40	the	the	DET
american_scientific_journal-6692	15	41	above	above	ADJ
american_scientific_journal-6692	15	42	system	system	NOUN
american_scientific_journal-6692	15	43	of	of	ADP
american_scientific_journal-6692	15	44	linear	linear	PROPN
american_scientific_journal-6692	15	45	equations	equation	NOUN
american_scientific_journal-6692	15	46	is	be	AUX
american_scientific_journal-6692	15	47	[	[	PUNCT
american_scientific_journal-6692	15	48	]	]	X
american_scientific_journal-6692	15	49	1.2	1.2	NUM
american_scientific_journal-6692	15	50	.	.	PUNCT
american_scientific_journal-6692	16	1	order	order	NOUN
american_scientific_journal-6692	16	2	of	of	ADP
american_scientific_journal-6692	16	3	matrix	matrix	NOUN
american_scientific_journal-6692	16	4	a	a	DET
american_scientific_journal-6692	16	5	matrix	matrix	NOUN
american_scientific_journal-6692	16	6	of	of	ADP
american_scientific_journal-6692	16	7	numbers	number	NOUN
american_scientific_journal-6692	16	8	of	of	ADP
american_scientific_journal-6692	16	9	rows	row	NOUN
american_scientific_journal-6692	16	10	and	and	CCONJ
american_scientific_journal-6692	16	11	numbers	number	NOUN
american_scientific_journal-6692	16	12	of	of	ADP
american_scientific_journal-6692	16	13	columns	column	NOUN
american_scientific_journal-6692	16	14	is	be	AUX
american_scientific_journal-6692	16	15	said	say	VERB
american_scientific_journal-6692	16	16	to	to	PART
american_scientific_journal-6692	16	17	be	be	AUX
american_scientific_journal-6692	16	18	a	a	DET
american_scientific_journal-6692	16	19	matrix	matrix	NOUN
american_scientific_journal-6692	16	20	of	of	ADP
american_scientific_journal-6692	16	21	order	order	NOUN
american_scientific_journal-6692	16	22	[	[	X
american_scientific_journal-6692	16	23	3	3	NUM
american_scientific_journal-6692	16	24	]	]	PUNCT
american_scientific_journal-6692	16	25	.	.	PUNCT
american_scientific_journal-6692	17	1	let	let	VERB
american_scientific_journal-6692	17	2	,	,	PUNCT
american_scientific_journal-6692	17	3	a	a	DET
american_scientific_journal-6692	17	4	be	be	AUX
american_scientific_journal-6692	17	5	a	a	DET
american_scientific_journal-6692	17	6	matrix	matrix	NOUN
american_scientific_journal-6692	17	7	of	of	ADP
american_scientific_journal-6692	17	8	the	the	DET
american_scientific_journal-6692	17	9	following	follow	VERB
american_scientific_journal-6692	17	10	forms	form	NOUN
american_scientific_journal-6692	17	11	[	[	PUNCT
american_scientific_journal-6692	17	12	]	]	PUNCT
american_scientific_journal-6692	17	13	here	here	ADV
american_scientific_journal-6692	17	14	,	,	PUNCT
american_scientific_journal-6692	17	15	matrix	matrix	VERB
american_scientific_journal-6692	17	16	a	a	PRON
american_scientific_journal-6692	17	17	has	have	VERB
american_scientific_journal-6692	17	18	3	3	NUM
american_scientific_journal-6692	17	19	rows	row	NOUN
american_scientific_journal-6692	17	20	and	and	CCONJ
american_scientific_journal-6692	17	21	4	4	NUM
american_scientific_journal-6692	17	22	columns	column	NOUN
american_scientific_journal-6692	17	23	.	.	PUNCT
american_scientific_journal-6692	18	1	so	so	ADV
american_scientific_journal-6692	18	2	,	,	PUNCT
american_scientific_journal-6692	18	3	matrix	matrix	VERB
american_scientific_journal-6692	18	4	a	a	PRON
american_scientific_journal-6692	18	5	is	be	AUX
american_scientific_journal-6692	18	6	of	of	ADP
american_scientific_journal-6692	18	7	order	order	NOUN
american_scientific_journal-6692	18	8	.	.	PUNCT
american_scientific_journal-6692	19	1	1.3	1.3	NUM
american_scientific_journal-6692	19	2	.	.	PUNCT
american_scientific_journal-6692	19	3	square	square	ADJ
american_scientific_journal-6692	19	4	matrix	matrix	NOUN
american_scientific_journal-6692	19	5	an	an	DET
american_scientific_journal-6692	19	6	matrix	matrix	NOUN
american_scientific_journal-6692	19	7	a	a	PRON
american_scientific_journal-6692	19	8	is	be	AUX
american_scientific_journal-6692	19	9	called	call	VERB
american_scientific_journal-6692	19	10	a	a	DET
american_scientific_journal-6692	19	11	square	square	ADJ
american_scientific_journal-6692	19	12	matrix	matrix	NOUN
american_scientific_journal-6692	19	13	if	if	SCONJ
american_scientific_journal-6692	19	14	the	the	DET
american_scientific_journal-6692	19	15	numbers	number	NOUN
american_scientific_journal-6692	19	16	of	of	ADP
american_scientific_journal-6692	19	17	rows	row	NOUN
american_scientific_journal-6692	19	18	is	be	AUX
american_scientific_journal-6692	19	19	equal	equal	ADJ
american_scientific_journal-6692	19	20	to	to	ADP
american_scientific_journal-6692	19	21	the	the	DET
american_scientific_journal-6692	19	22	number	number	NOUN
american_scientific_journal-6692	19	23	of	of	ADP
american_scientific_journal-6692	19	24	the	the	DET
american_scientific_journal-6692	19	25	columns	column	NOUN
american_scientific_journal-6692	19	26	example	example	NOUN
american_scientific_journal-6692	19	27	of	of	ADP
american_scientific_journal-6692	19	28	a	a	DET
american_scientific_journal-6692	19	29	square	square	ADJ
american_scientific_journal-6692	19	30	matrix	matrix	NOUN
american_scientific_journal-6692	19	31	is	be	AUX
american_scientific_journal-6692	19	32	as	as	ADP
american_scientific_journal-6692	19	33	following	follow	VERB
american_scientific_journal-6692	19	34	[	[	PUNCT
american_scientific_journal-6692	19	35	]	]	X
american_scientific_journal-6692	19	36	1.4	1.4	NUM
american_scientific_journal-6692	19	37	.	.	PUNCT
american_scientific_journal-6692	20	1	diagonal	diagonal	ADJ
american_scientific_journal-6692	20	2	matrix	matrix	NOUN
american_scientific_journal-6692	20	3	a	a	DET
american_scientific_journal-6692	20	4	diagonal	diagonal	ADJ
american_scientific_journal-6692	20	5	matrix	matrix	NOUN
american_scientific_journal-6692	20	6	is	be	AUX
american_scientific_journal-6692	20	7	a	a	DET
american_scientific_journal-6692	20	8	square	square	ADJ
american_scientific_journal-6692	20	9	matrix	matrix	NOUN
american_scientific_journal-6692	20	10	,	,	PUNCT
american_scientific_journal-6692	20	11	where	where	SCONJ
american_scientific_journal-6692	20	12	all	all	DET
american_scientific_journal-6692	20	13	the	the	DET
american_scientific_journal-6692	20	14	elements	element	NOUN
american_scientific_journal-6692	20	15	other	other	ADJ
american_scientific_journal-6692	20	16	than	than	ADP
american_scientific_journal-6692	20	17	the	the	DET
american_scientific_journal-6692	20	18	diagonal	diagonal	ADJ
american_scientific_journal-6692	20	19	are	be	AUX
american_scientific_journal-6692	20	20	zero	zero	NUM
american_scientific_journal-6692	20	21	.	.	PUNCT
american_scientific_journal-6692	20	22	example	example	NOUN
american_scientific_journal-6692	20	23	of	of	ADP
american_scientific_journal-6692	20	24	a	a	DET
american_scientific_journal-6692	20	25	diagonal	diagonal	ADJ
american_scientific_journal-6692	20	26	matrix	matrix	NOUN
american_scientific_journal-6692	20	27	is	be	AUX
american_scientific_journal-6692	20	28	as	as	ADP
american_scientific_journal-6692	20	29	following	follow	VERB
american_scientific_journal-6692	20	30	:	:	PUNCT
american_scientific_journal-6692	20	31	american	american	ADJ
american_scientific_journal-6692	20	32	scientific	scientific	ADJ
american_scientific_journal-6692	20	33	research	research	PROPN
american_scientific_journal-6692	20	34	journal	journal	NOUN
american_scientific_journal-6692	20	35	for	for	ADP
american_scientific_journal-6692	20	36	engineering	engineering	NOUN
american_scientific_journal-6692	20	37	,	,	PUNCT
american_scientific_journal-6692	20	38	technology	technology	NOUN
american_scientific_journal-6692	20	39	,	,	PUNCT
american_scientific_journal-6692	20	40	and	and	CCONJ
american_scientific_journal-6692	20	41	sciences	science	NOUN
american_scientific_journal-6692	20	42	(	(	PUNCT
american_scientific_journal-6692	20	43	asrjets	asrjet	NOUN
american_scientific_journal-6692	20	44	)	)	PUNCT
american_scientific_journal-6692	20	45	(	(	PUNCT
american_scientific_journal-6692	20	46	2021	2021	NUM
american_scientific_journal-6692	20	47	)	)	PUNCT
american_scientific_journal-6692	20	48	volume	volume	NOUN
american_scientific_journal-6692	20	49	77	77	NUM
american_scientific_journal-6692	20	50	,	,	PUNCT
american_scientific_journal-6692	20	51	no	no	DET
american_scientific_journal-6692	20	52	1	1	NUM
american_scientific_journal-6692	20	53	,	,	PUNCT
american_scientific_journal-6692	20	54	pp	pp	ADV
american_scientific_journal-6692	20	55	90	90	NUM
american_scientific_journal-6692	20	56	-	-	SYM
american_scientific_journal-6692	20	57	94	94	NUM
american_scientific_journal-6692	20	58	92	92	NUM
american_scientific_journal-6692	20	59	[	[	PUNCT
american_scientific_journal-6692	20	60	]	]	X
american_scientific_journal-6692	20	61	1.5	1.5	NUM
american_scientific_journal-6692	20	62	.	.	PUNCT
american_scientific_journal-6692	21	1	identity	identity	NOUN
american_scientific_journal-6692	21	2	matrix	matrix	NOUN
american_scientific_journal-6692	21	3	a	a	DET
american_scientific_journal-6692	21	4	diagonal	diagonal	ADJ
american_scientific_journal-6692	21	5	matrix	matrix	NOUN
american_scientific_journal-6692	21	6	is	be	AUX
american_scientific_journal-6692	21	7	said	say	VERB
american_scientific_journal-6692	21	8	to	to	PART
american_scientific_journal-6692	21	9	be	be	AUX
american_scientific_journal-6692	21	10	an	an	DET
american_scientific_journal-6692	21	11	identity	identity	NOUN
american_scientific_journal-6692	21	12	matrix	matrix	NOUN
american_scientific_journal-6692	21	13	if	if	SCONJ
american_scientific_journal-6692	21	14	all	all	DET
american_scientific_journal-6692	21	15	the	the	DET
american_scientific_journal-6692	21	16	diagonal	diagonal	ADJ
american_scientific_journal-6692	21	17	elements	element	NOUN
american_scientific_journal-6692	21	18	are	be	AUX
american_scientific_journal-6692	21	19	1	1	NUM
american_scientific_journal-6692	21	20	[	[	X
american_scientific_journal-6692	21	21	4	4	NUM
american_scientific_journal-6692	21	22	]	]	PUNCT
american_scientific_journal-6692	21	23	.	.	PUNCT
american_scientific_journal-6692	22	1	the	the	DET
american_scientific_journal-6692	22	2	following	follow	VERB
american_scientific_journal-6692	22	3	is	be	AUX
american_scientific_journal-6692	22	4	an	an	DET
american_scientific_journal-6692	22	5	example	example	NOUN
american_scientific_journal-6692	22	6	of	of	ADP
american_scientific_journal-6692	22	7	an	an	DET
american_scientific_journal-6692	22	8	identity	identity	NOUN
american_scientific_journal-6692	22	9	matrix	matrix	NOUN
american_scientific_journal-6692	22	10	[	[	PUNCT
american_scientific_journal-6692	22	11	]	]	X
american_scientific_journal-6692	22	12	1.6	1.6	NUM
american_scientific_journal-6692	22	13	.	.	PUNCT
american_scientific_journal-6692	22	14	zero	zero	NUM
american_scientific_journal-6692	22	15	matrix	matrix	NOUN
american_scientific_journal-6692	22	16	the	the	DET
american_scientific_journal-6692	22	17	matrix	matrix	NOUN
american_scientific_journal-6692	22	18	in	in	ADP
american_scientific_journal-6692	22	19	which	which	PRON
american_scientific_journal-6692	22	20	all	all	DET
american_scientific_journal-6692	22	21	the	the	DET
american_scientific_journal-6692	22	22	elements	element	NOUN
american_scientific_journal-6692	22	23	are	be	AUX
american_scientific_journal-6692	22	24	zero	zero	NUM
american_scientific_journal-6692	22	25	is	be	AUX
american_scientific_journal-6692	22	26	said	say	VERB
american_scientific_journal-6692	22	27	to	to	PART
american_scientific_journal-6692	22	28	be	be	AUX
american_scientific_journal-6692	22	29	a	a	DET
american_scientific_journal-6692	22	30	zero	zero	NUM
american_scientific_journal-6692	22	31	matrix	matrix	NOUN
american_scientific_journal-6692	22	32	[	[	X
american_scientific_journal-6692	22	33	5	5	NUM
american_scientific_journal-6692	22	34	]	]	PUNCT
american_scientific_journal-6692	22	35	.	.	PUNCT
american_scientific_journal-6692	23	1	as	as	ADP
american_scientific_journal-6692	23	2	an	an	DET
american_scientific_journal-6692	23	3	example	example	NOUN
american_scientific_journal-6692	23	4	of	of	ADP
american_scientific_journal-6692	23	5	a	a	DET
american_scientific_journal-6692	23	6	zero	zero	NUM
american_scientific_journal-6692	23	7	matrix	matrix	NOUN
american_scientific_journal-6692	23	8	we	we	PRON
american_scientific_journal-6692	23	9	can	can	AUX
american_scientific_journal-6692	23	10	consider	consider	VERB
american_scientific_journal-6692	23	11	the	the	DET
american_scientific_journal-6692	23	12	following	follow	VERB
american_scientific_journal-6692	23	13	matrix	matrix	NOUN
american_scientific_journal-6692	23	14	a.	a.	NOUN
american_scientific_journal-6692	23	15	[	[	PUNCT
american_scientific_journal-6692	23	16	]	]	X
american_scientific_journal-6692	23	17	2	2	X
american_scientific_journal-6692	23	18	.	.	X
american_scientific_journal-6692	23	19	main	main	ADJ
american_scientific_journal-6692	23	20	result	result	NOUN
american_scientific_journal-6692	23	21	in	in	ADP
american_scientific_journal-6692	23	22	this	this	DET
american_scientific_journal-6692	23	23	section	section	NOUN
american_scientific_journal-6692	23	24	we	we	PRON
american_scientific_journal-6692	23	25	will	will	AUX
american_scientific_journal-6692	23	26	define	define	VERB
american_scientific_journal-6692	23	27	a	a	DET
american_scientific_journal-6692	23	28	matrix	matrix	NOUN
american_scientific_journal-6692	23	29	other	other	ADJ
american_scientific_journal-6692	23	30	than	than	ADP
american_scientific_journal-6692	23	31	all	all	DET
american_scientific_journal-6692	23	32	the	the	DET
american_scientific_journal-6692	23	33	matrices	matrix	NOUN
american_scientific_journal-6692	23	34	defined	define	VERB
american_scientific_journal-6692	23	35	previously	previously	ADV
american_scientific_journal-6692	23	36	in	in	ADP
american_scientific_journal-6692	23	37	many	many	ADJ
american_scientific_journal-6692	23	38	other	other	ADJ
american_scientific_journal-6692	23	39	books	book	NOUN
american_scientific_journal-6692	23	40	and	and	CCONJ
american_scientific_journal-6692	23	41	papers	paper	NOUN
american_scientific_journal-6692	23	42	.	.	PUNCT
american_scientific_journal-6692	24	1	2.1	2.1	NUM
american_scientific_journal-6692	24	2	.	.	PUNCT
american_scientific_journal-6692	24	3	definition	definition	NOUN
american_scientific_journal-6692	24	4	let	let	AUX
american_scientific_journal-6692	24	5	,	,	PUNCT
american_scientific_journal-6692	24	6	be	be	AUX
american_scientific_journal-6692	24	7	a	a	DET
american_scientific_journal-6692	24	8	square	square	ADJ
american_scientific_journal-6692	24	9	matrix	matrix	NOUN
american_scientific_journal-6692	24	10	of	of	ADP
american_scientific_journal-6692	24	11	order	order	NOUN
american_scientific_journal-6692	24	12	.	.	PUNCT
american_scientific_journal-6692	25	1	let	let	VERB
american_scientific_journal-6692	25	2	,	,	PUNCT
american_scientific_journal-6692	25	3	and	and	CCONJ
american_scientific_journal-6692	25	4	.	.	PUNCT
american_scientific_journal-6692	26	1	then	then	ADV
american_scientific_journal-6692	26	2	all	all	DET
american_scientific_journal-6692	26	3	the	the	DET
american_scientific_journal-6692	26	4	element	element	NOUN
american_scientific_journal-6692	26	5	of	of	ADP
american_scientific_journal-6692	26	6	a	a	PRON
american_scientific_journal-6692	26	7	except	except	SCONJ
american_scientific_journal-6692	26	8	those	those	DET
american_scientific_journal-6692	26	9	whose	whose	DET
american_scientific_journal-6692	26	10	i	i	PRON
american_scientific_journal-6692	26	11	-	-	PUNCT
american_scientific_journal-6692	26	12	th	th	X
american_scientific_journal-6692	26	13	or	or	CCONJ
american_scientific_journal-6692	26	14	j	j	PROPN
american_scientific_journal-6692	26	15	-	-	PUNCT
american_scientific_journal-6692	26	16	th	th	VERB
american_scientific_journal-6692	26	17	element	element	NOUN
american_scientific_journal-6692	26	18	has	have	AUX
american_scientific_journal-6692	26	19	at	at	ADV
american_scientific_journal-6692	26	20	least	least	ADV
american_scientific_journal-6692	26	21	one	one	NUM
american_scientific_journal-6692	26	22	1	1	NUM
american_scientific_journal-6692	26	23	or	or	CCONJ
american_scientific_journal-6692	26	24	m	m	NOUN
american_scientific_journal-6692	26	25	,	,	PUNCT
american_scientific_journal-6692	26	26	are	be	AUX
american_scientific_journal-6692	26	27	zero	zero	NUM
american_scientific_journal-6692	26	28	;	;	PUNCT
american_scientific_journal-6692	26	29	construct	construct	VERB
american_scientific_journal-6692	26	30	a	a	DET
american_scientific_journal-6692	26	31	new	new	ADJ
american_scientific_journal-6692	26	32	type	type	NOUN
american_scientific_journal-6692	26	33	of	of	ADP
american_scientific_journal-6692	26	34	matrix	matrix	NOUN
american_scientific_journal-6692	26	35	.	.	PUNCT
american_scientific_journal-6692	27	1	consider	consider	VERB
american_scientific_journal-6692	27	2	the	the	DET
american_scientific_journal-6692	27	3	following	follow	VERB
american_scientific_journal-6692	27	4	matrix	matrix	NOUN
american_scientific_journal-6692	27	5	of	of	ADP
american_scientific_journal-6692	27	6	order	order	NOUN
american_scientific_journal-6692	27	7	[	[	PUNCT
american_scientific_journal-6692	27	8	]	]	X
american_scientific_journal-6692	27	9	here	here	ADV
american_scientific_journal-6692	27	10	,	,	PUNCT
american_scientific_journal-6692	27	11	the	the	DET
american_scientific_journal-6692	27	12	matrix	matrix	NOUN
american_scientific_journal-6692	27	13	is	be	AUX
american_scientific_journal-6692	27	14	a	a	DET
american_scientific_journal-6692	27	15	square	square	ADJ
american_scientific_journal-6692	27	16	matrix	matrix	NOUN
american_scientific_journal-6692	27	17	where	where	SCONJ
american_scientific_journal-6692	27	18	,	,	PUNCT
american_scientific_journal-6692	27	19	and	and	CCONJ
american_scientific_journal-6692	27	20	.	.	PUNCT
american_scientific_journal-6692	28	1	all	all	DET
american_scientific_journal-6692	28	2	the	the	DET
american_scientific_journal-6692	28	3	element	element	NOUN
american_scientific_journal-6692	28	4	of	of	ADP
american_scientific_journal-6692	28	5	which	which	PRON
american_scientific_journal-6692	28	6	does	do	AUX
american_scientific_journal-6692	28	7	not	not	PART
american_scientific_journal-6692	28	8	have	have	VERB
american_scientific_journal-6692	28	9	or	or	CCONJ
american_scientific_journal-6692	28	10	are	be	AUX
american_scientific_journal-6692	28	11	american	american	ADJ
american_scientific_journal-6692	28	12	scientific	scientific	ADJ
american_scientific_journal-6692	28	13	research	research	NOUN
american_scientific_journal-6692	28	14	journal	journal	NOUN
american_scientific_journal-6692	28	15	for	for	ADP
american_scientific_journal-6692	28	16	engineering	engineering	NOUN
american_scientific_journal-6692	28	17	,	,	PUNCT
american_scientific_journal-6692	28	18	technology	technology	NOUN
american_scientific_journal-6692	28	19	,	,	PUNCT
american_scientific_journal-6692	28	20	and	and	CCONJ
american_scientific_journal-6692	28	21	sciences	science	NOUN
american_scientific_journal-6692	28	22	(	(	PUNCT
american_scientific_journal-6692	28	23	asrjets	asrjet	NOUN
american_scientific_journal-6692	28	24	)	)	PUNCT
american_scientific_journal-6692	28	25	(	(	PUNCT
american_scientific_journal-6692	28	26	2021	2021	NUM
american_scientific_journal-6692	28	27	)	)	PUNCT
american_scientific_journal-6692	28	28	volume	volume	NOUN
american_scientific_journal-6692	28	29	77	77	NUM
american_scientific_journal-6692	28	30	,	,	PUNCT
american_scientific_journal-6692	28	31	no	no	DET
american_scientific_journal-6692	28	32	1	1	NUM
american_scientific_journal-6692	28	33	,	,	PUNCT
american_scientific_journal-6692	28	34	pp	pp	ADV
american_scientific_journal-6692	28	35	90	90	NUM
american_scientific_journal-6692	28	36	-	-	SYM
american_scientific_journal-6692	28	37	94	94	NUM
american_scientific_journal-6692	28	38	93	93	NUM
american_scientific_journal-6692	28	39	and	and	CCONJ
american_scientific_journal-6692	28	40	.	.	PUNCT
american_scientific_journal-6692	29	1	this	this	DET
american_scientific_journal-6692	29	2	matrix	matrix	NOUN
american_scientific_journal-6692	29	3	looks	look	VERB
american_scientific_journal-6692	29	4	a	a	DET
american_scientific_journal-6692	29	5	perimeter	perimeter	NOUN
american_scientific_journal-6692	29	6	of	of	ADP
american_scientific_journal-6692	29	7	a	a	DET
american_scientific_journal-6692	29	8	square	square	NOUN
american_scientific_journal-6692	29	9	.	.	PUNCT
american_scientific_journal-6692	30	1	so	so	ADV
american_scientific_journal-6692	30	2	,	,	PUNCT
american_scientific_journal-6692	30	3	roughly	roughly	ADV
american_scientific_journal-6692	30	4	we	we	PRON
american_scientific_journal-6692	30	5	can	can	AUX
american_scientific_journal-6692	30	6	call	call	VERB
american_scientific_journal-6692	30	7	it	it	PRON
american_scientific_journal-6692	30	8	a	a	DET
american_scientific_journal-6692	30	9	perimeter	perimeter	NOUN
american_scientific_journal-6692	30	10	matrix	matrix	NOUN
american_scientific_journal-6692	30	11	for	for	ADP
american_scientific_journal-6692	30	12	the	the	DET
american_scientific_journal-6692	30	13	convenience	convenience	NOUN
american_scientific_journal-6692	30	14	to	to	PART
american_scientific_journal-6692	30	15	describe	describe	VERB
american_scientific_journal-6692	30	16	it	it	PRON
american_scientific_journal-6692	30	17	in	in	ADP
american_scientific_journal-6692	30	18	later	later	ADJ
american_scientific_journal-6692	30	19	sections	section	NOUN
american_scientific_journal-6692	30	20	.	.	PUNCT
american_scientific_journal-6692	31	1	2.2	2.2	NUM
american_scientific_journal-6692	31	2	.	.	PUNCT
american_scientific_journal-6692	31	3	properties	property	NOUN
american_scientific_journal-6692	31	4	to	to	PART
american_scientific_journal-6692	31	5	be	be	AUX
american_scientific_journal-6692	31	6	a	a	DET
american_scientific_journal-6692	31	7	perimeter	perimeter	NOUN
american_scientific_journal-6692	31	8	matrix	matrix	NOUN
american_scientific_journal-6692	31	9			NOUN
american_scientific_journal-6692	31	10	must	must	AUX
american_scientific_journal-6692	31	11	be	be	AUX
american_scientific_journal-6692	31	12	a	a	DET
american_scientific_journal-6692	31	13	square	square	ADJ
american_scientific_journal-6692	31	14	matrix	matrix	NOUN
american_scientific_journal-6692	31	15	of	of	ADP
american_scientific_journal-6692	31	16	the	the	DET
american_scientific_journal-6692	31	17	form	form	NOUN
american_scientific_journal-6692	31	18	.	.	PUNCT
american_scientific_journal-6692	32	1			X
american_scientific_journal-6692	32	2	the	the	DET
american_scientific_journal-6692	32	3	least	least	ADJ
american_scientific_journal-6692	32	4	value	value	NOUN
american_scientific_journal-6692	32	5	of	of	ADP
american_scientific_journal-6692	32	6	m	m	PROPN
american_scientific_journal-6692	32	7	is	be	AUX
american_scientific_journal-6692	32	8	3	3	NUM
american_scientific_journal-6692	32	9	.	.	PUNCT
american_scientific_journal-6692	32	10			NOUN
american_scientific_journal-6692	32	11	all	all	DET
american_scientific_journal-6692	32	12	the	the	DET
american_scientific_journal-6692	32	13	element	element	NOUN
american_scientific_journal-6692	32	14	of	of	ADP
american_scientific_journal-6692	32	15	first	first	ADJ
american_scientific_journal-6692	32	16	row	row	NOUN
american_scientific_journal-6692	32	17	and	and	CCONJ
american_scientific_journal-6692	32	18	last	last	ADJ
american_scientific_journal-6692	32	19	row	row	NOUN
american_scientific_journal-6692	32	20	,	,	PUNCT
american_scientific_journal-6692	32	21	first	first	ADJ
american_scientific_journal-6692	32	22	column	column	NOUN
american_scientific_journal-6692	32	23	and	and	CCONJ
american_scientific_journal-6692	32	24	last	last	ADJ
american_scientific_journal-6692	32	25	column	column	NOUN
american_scientific_journal-6692	32	26	must	must	AUX
american_scientific_journal-6692	32	27	have	have	VERB
american_scientific_journal-6692	32	28	a	a	DET
american_scientific_journal-6692	32	29	value	value	NOUN
american_scientific_journal-6692	32	30	other	other	ADJ
american_scientific_journal-6692	32	31	than	than	ADP
american_scientific_journal-6692	32	32	0	0	NUM
american_scientific_journal-6692	32	33	.	.	PUNCT
american_scientific_journal-6692	33	1			NOUN
american_scientific_journal-6692	33	2	all	all	DET
american_scientific_journal-6692	33	3	the	the	DET
american_scientific_journal-6692	33	4	elements	element	NOUN
american_scientific_journal-6692	33	5	other	other	ADJ
american_scientific_journal-6692	33	6	than	than	ADP
american_scientific_journal-6692	33	7	the	the	DET
american_scientific_journal-6692	33	8	third	third	ADJ
american_scientific_journal-6692	33	9	property	property	NOUN
american_scientific_journal-6692	33	10	are	be	AUX
american_scientific_journal-6692	33	11	0	0	NUM
american_scientific_journal-6692	33	12	.	.	X
american_scientific_journal-6692	33	13	2.3	2.3	NUM
american_scientific_journal-6692	33	14	.	.	PUNCT
american_scientific_journal-6692	34	1	theorem	theorem	VERB
american_scientific_journal-6692	34	2	when	when	SCONJ
american_scientific_journal-6692	34	3	all	all	DET
american_scientific_journal-6692	34	4	other	other	ADJ
american_scientific_journal-6692	34	5	elements	element	NOUN
american_scientific_journal-6692	34	6	except	except	SCONJ
american_scientific_journal-6692	34	7	the	the	DET
american_scientific_journal-6692	34	8	zero	zero	NUM
american_scientific_journal-6692	34	9	element	element	NOUN
american_scientific_journal-6692	34	10	of	of	ADP
american_scientific_journal-6692	34	11	a	a	DET
american_scientific_journal-6692	34	12	perimeter	perimeter	NOUN
american_scientific_journal-6692	34	13	matrix	matrix	NOUN
american_scientific_journal-6692	34	14	of	of	ADP
american_scientific_journal-6692	34	15	the	the	DET
american_scientific_journal-6692	34	16	order	order	NOUN
american_scientific_journal-6692	34	17	,	,	PUNCT
american_scientific_journal-6692	34	18	where	where	SCONJ
american_scientific_journal-6692	34	19	,	,	PUNCT
american_scientific_journal-6692	34	20	are	be	AUX
american_scientific_journal-6692	34	21	equal	equal	ADJ
american_scientific_journal-6692	34	22	then	then	ADV
american_scientific_journal-6692	34	23	the	the	DET
american_scientific_journal-6692	34	24	determinant	determinant	NOUN
american_scientific_journal-6692	34	25	of	of	ADP
american_scientific_journal-6692	34	26	the	the	DET
american_scientific_journal-6692	34	27	matrix	matrix	NOUN
american_scientific_journal-6692	34	28	are	be	AUX
american_scientific_journal-6692	34	29	zero	zero	NUM
american_scientific_journal-6692	34	30	.	.	PUNCT
american_scientific_journal-6692	35	1	example	example	NOUN
american_scientific_journal-6692	35	2	:	:	PUNCT
american_scientific_journal-6692	35	3	consider	consider	VERB
american_scientific_journal-6692	35	4	the	the	DET
american_scientific_journal-6692	35	5	following	follow	VERB
american_scientific_journal-6692	35	6	matrix	matrix	NOUN
american_scientific_journal-6692	35	7	[	[	PUNCT
american_scientific_journal-6692	35	8	]	]	PUNCT
american_scientific_journal-6692	35	9	then	then	ADV
american_scientific_journal-6692	35	10	,	,	PUNCT
american_scientific_journal-6692	35	11	determinant	determinant	ADJ
american_scientific_journal-6692	35	12	of	of	ADP
american_scientific_journal-6692	35	13	,	,	PUNCT
american_scientific_journal-6692	35	14	2.4	2.4	NUM
american_scientific_journal-6692	35	15	.	.	PUNCT
american_scientific_journal-6692	36	1	theorem	theorem	NOUN
american_scientific_journal-6692	36	2	if	if	SCONJ
american_scientific_journal-6692	36	3	be	be	AUX
american_scientific_journal-6692	36	4	a	a	DET
american_scientific_journal-6692	36	5	perimeter	perimeter	NOUN
american_scientific_journal-6692	36	6	matrix	matrix	NOUN
american_scientific_journal-6692	36	7	and	and	CCONJ
american_scientific_journal-6692	36	8	be	be	AUX
american_scientific_journal-6692	36	9	an	an	DET
american_scientific_journal-6692	36	10	identity	identity	NOUN
american_scientific_journal-6692	36	11	matrix	matrix	NOUN
american_scientific_journal-6692	36	12	of	of	ADP
american_scientific_journal-6692	36	13	same	same	ADJ
american_scientific_journal-6692	36	14	order	order	NOUN
american_scientific_journal-6692	36	15	then	then	ADV
american_scientific_journal-6692	36	16	3	3	X
american_scientific_journal-6692	36	17	.	.	PUNCT
american_scientific_journal-6692	36	18	conclusion	conclusion	NOUN
american_scientific_journal-6692	36	19	matrix	matrix	NOUN
american_scientific_journal-6692	36	20	theory	theory	NOUN
american_scientific_journal-6692	36	21	has	have	VERB
american_scientific_journal-6692	36	22	great	great	ADJ
american_scientific_journal-6692	36	23	deals	deal	NOUN
american_scientific_journal-6692	36	24	with	with	ADP
american_scientific_journal-6692	36	25	different	different	ADJ
american_scientific_journal-6692	36	26	fields	field	NOUN
american_scientific_journal-6692	36	27	of	of	ADP
american_scientific_journal-6692	36	28	mathematics	mathematic	NOUN
american_scientific_journal-6692	36	29	and	and	CCONJ
american_scientific_journal-6692	36	30	real	real	ADJ
american_scientific_journal-6692	36	31	life	life	NOUN
american_scientific_journal-6692	36	32	sciences	science	NOUN
american_scientific_journal-6692	36	33	.	.	PUNCT
american_scientific_journal-6692	37	1	this	this	DET
american_scientific_journal-6692	37	2	research	research	NOUN
american_scientific_journal-6692	37	3	paper	paper	NOUN
american_scientific_journal-6692	37	4	firstly	firstly	ADV
american_scientific_journal-6692	37	5	reviews	review	VERB
american_scientific_journal-6692	37	6	briefly	briefly	ADV
american_scientific_journal-6692	37	7	on	on	ADP
american_scientific_journal-6692	37	8	some	some	DET
american_scientific_journal-6692	37	9	types	type	NOUN
american_scientific_journal-6692	37	10	of	of	ADP
american_scientific_journal-6692	37	11	matrices	matrix	NOUN
american_scientific_journal-6692	37	12	.	.	PUNCT
american_scientific_journal-6692	38	1	then	then	ADV
american_scientific_journal-6692	38	2	this	this	DET
american_scientific_journal-6692	38	3	paper	paper	NOUN
american_scientific_journal-6692	38	4	introduces	introduce	VERB
american_scientific_journal-6692	38	5	a	a	DET
american_scientific_journal-6692	38	6	new	new	ADJ
american_scientific_journal-6692	38	7	type	type	NOUN
american_scientific_journal-6692	38	8	of	of	ADP
american_scientific_journal-6692	38	9	matrix	matrix	NOUN
american_scientific_journal-6692	38	10	other	other	ADJ
american_scientific_journal-6692	38	11	than	than	ADP
american_scientific_journal-6692	38	12	the	the	DET
american_scientific_journal-6692	38	13	known	know	VERB
american_scientific_journal-6692	38	14	matrices	matrix	NOUN
american_scientific_journal-6692	38	15	.	.	PUNCT
american_scientific_journal-6692	39	1	few	few	ADJ
american_scientific_journal-6692	39	2	properties	property	NOUN
american_scientific_journal-6692	39	3	and	and	CCONJ
american_scientific_journal-6692	39	4	theorems	theorem	NOUN
american_scientific_journal-6692	39	5	are	be	AUX
american_scientific_journal-6692	39	6	included	include	VERB
american_scientific_journal-6692	39	7	here	here	ADV
american_scientific_journal-6692	39	8	.	.	PUNCT
american_scientific_journal-6692	40	1	american	american	ADJ
american_scientific_journal-6692	40	2	scientific	scientific	ADJ
american_scientific_journal-6692	40	3	research	research	PROPN
american_scientific_journal-6692	40	4	journal	journal	NOUN
american_scientific_journal-6692	40	5	for	for	ADP
american_scientific_journal-6692	40	6	engineering	engineering	NOUN
american_scientific_journal-6692	40	7	,	,	PUNCT
american_scientific_journal-6692	40	8	technology	technology	NOUN
american_scientific_journal-6692	40	9	,	,	PUNCT
american_scientific_journal-6692	40	10	and	and	CCONJ
american_scientific_journal-6692	40	11	sciences	science	NOUN
american_scientific_journal-6692	40	12	(	(	PUNCT
american_scientific_journal-6692	40	13	asrjets	asrjet	NOUN
american_scientific_journal-6692	40	14	)	)	PUNCT
american_scientific_journal-6692	40	15	(	(	PUNCT
american_scientific_journal-6692	40	16	2021	2021	NUM
american_scientific_journal-6692	40	17	)	)	PUNCT
american_scientific_journal-6692	40	18	volume	volume	NOUN
american_scientific_journal-6692	40	19	77	77	NUM
american_scientific_journal-6692	40	20	,	,	PUNCT
american_scientific_journal-6692	40	21	no	no	DET
american_scientific_journal-6692	40	22	1	1	NUM
american_scientific_journal-6692	40	23	,	,	PUNCT
american_scientific_journal-6692	40	24	pp	pp	ADV
american_scientific_journal-6692	40	25	90	90	NUM
american_scientific_journal-6692	40	26	-	-	SYM
american_scientific_journal-6692	40	27	94	94	NUM
american_scientific_journal-6692	40	28	94	94	NUM
american_scientific_journal-6692	40	29	references	reference	NOUN
american_scientific_journal-6692	40	30	[	[	X
american_scientific_journal-6692	40	31	1	1	NUM
american_scientific_journal-6692	40	32	]	]	PUNCT
american_scientific_journal-6692	40	33	.	.	PUNCT
american_scientific_journal-6692	41	1	h.	h.	PROPN
american_scientific_journal-6692	41	2	anton	anton	PROPN
american_scientific_journal-6692	41	3	and	and	CCONJ
american_scientific_journal-6692	41	4	c.	c.	PROPN
american_scientific_journal-6692	41	5	rorres	rorre	VERB
american_scientific_journal-6692	41	6	.	.	PUNCT
american_scientific_journal-6692	42	1	elementary	elementary	ADJ
american_scientific_journal-6692	42	2	linear	linear	PROPN
american_scientific_journal-6692	42	3	algebra	algebra	PROPN
american_scientific_journal-6692	42	4	.	.	PUNCT
american_scientific_journal-6692	43	1	john	john	PROPN
american_scientific_journal-6692	43	2	wiley	wiley	PROPN
american_scientific_journal-6692	43	3	&	&	CCONJ
american_scientific_journal-6692	43	4	sons	sons	PROPN
american_scientific_journal-6692	43	5	,	,	PUNCT
american_scientific_journal-6692	43	6	inc	inc	PROPN
american_scientific_journal-6692	43	7	.	.	PROPN
american_scientific_journal-6692	43	8	,	,	PUNCT
american_scientific_journal-6692	43	9	2005	2005	NUM
american_scientific_journal-6692	43	10	.	.	PUNCT
american_scientific_journal-6692	44	1	[	[	X
american_scientific_journal-6692	44	2	2	2	NUM
american_scientific_journal-6692	44	3	]	]	PUNCT
american_scientific_journal-6692	44	4	.	.	PUNCT
american_scientific_journal-6692	44	5	a.	a.	PROPN
american_scientific_journal-6692	44	6	k.	k.	PROPN
american_scientific_journal-6692	44	7	kaw	kaw	PROPN
american_scientific_journal-6692	44	8	.	.	PUNCT
american_scientific_journal-6692	45	1	introduction	introduction	NOUN
american_scientific_journal-6692	45	2	to	to	PART
american_scientific_journal-6692	45	3	matrix	matrix	VERB
american_scientific_journal-6692	45	4	algebra	algebra	NOUN
american_scientific_journal-6692	45	5	.	.	PUNCT
american_scientific_journal-6692	46	1	florida	florida	PROPN
american_scientific_journal-6692	46	2	,	,	PUNCT
american_scientific_journal-6692	46	3	2002	2002	NUM
american_scientific_journal-6692	46	4	.	.	PUNCT
american_scientific_journal-6692	47	1	[	[	X
american_scientific_journal-6692	47	2	3	3	NUM
american_scientific_journal-6692	47	3	]	]	PUNCT
american_scientific_journal-6692	47	4	.	.	PUNCT
american_scientific_journal-6692	48	1	s.	s.	PROPN
american_scientific_journal-6692	48	2	kaur	kaur	PROPN
american_scientific_journal-6692	48	3	.	.	PUNCT
american_scientific_journal-6692	49	1	“	"	PUNCT
american_scientific_journal-6692	49	2	applications	application	NOUN
american_scientific_journal-6692	49	3	of	of	ADP
american_scientific_journal-6692	49	4	matrices	matrix	NOUN
american_scientific_journal-6692	49	5	,	,	PUNCT
american_scientific_journal-6692	49	6	”	"	PUNCT
american_scientific_journal-6692	49	7	international	international	ADJ
american_scientific_journal-6692	49	8	journal	journal	NOUN
american_scientific_journal-6692	49	9	of	of	ADP
american_scientific_journal-6692	49	10	engineering	engineering	NOUN
american_scientific_journal-6692	49	11	technology	technology	NOUN
american_scientific_journal-6692	49	12	science	science	NOUN
american_scientific_journal-6692	49	13	and	and	CCONJ
american_scientific_journal-6692	49	14	research	research	NOUN
american_scientific_journal-6692	49	15	,	,	PUNCT
american_scientific_journal-6692	49	16	ijetsr	ijetsr	ADJ
american_scientific_journal-6692	49	17	,	,	PUNCT
american_scientific_journal-6692	49	18	vol	vol	NOUN
american_scientific_journal-6692	49	19	.	.	PROPN
american_scientific_journal-6692	49	20	4	4	NUM
american_scientific_journal-6692	49	21	,	,	PUNCT
american_scientific_journal-6692	49	22	issue	issue	NOUN
american_scientific_journal-6692	49	23	11	11	NUM
american_scientific_journal-6692	49	24	,	,	PUNCT
american_scientific_journal-6692	49	25	pp	pp	ADJ
american_scientific_journal-6692	49	26	.	.	PUNCT
american_scientific_journal-6692	49	27	284	284	NUM
american_scientific_journal-6692	49	28	-	-	SYM
american_scientific_journal-6692	49	29	288	288	NUM
american_scientific_journal-6692	49	30	,	,	PUNCT
american_scientific_journal-6692	49	31	2017	2017	NUM
american_scientific_journal-6692	49	32	.	.	PUNCT
american_scientific_journal-6692	50	1	[	[	X
american_scientific_journal-6692	50	2	4	4	NUM
american_scientific_journal-6692	50	3	]	]	PUNCT
american_scientific_journal-6692	50	4	.	.	PUNCT
american_scientific_journal-6692	51	1	s.	s.	PROPN
american_scientific_journal-6692	51	2	lipschutz	lipschutz	PROPN
american_scientific_journal-6692	51	3	&	&	CCONJ
american_scientific_journal-6692	51	4	m.	m.	PROPN
american_scientific_journal-6692	51	5	l.	l.	PROPN
american_scientific_journal-6692	51	6	lipson	lipson	PROPN
american_scientific_journal-6692	51	7	.	.	PUNCT
american_scientific_journal-6692	52	1	linear	linear	PROPN
american_scientific_journal-6692	52	2	algebra	algebra	PROPN
american_scientific_journal-6692	52	3	.	.	PUNCT
american_scientific_journal-6692	53	1	schaum	schaum	PROPN
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american_scientific_journal-6692	53	5	,	,	PUNCT
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american_scientific_journal-6692	53	7	mcgraw	mcgraw	PROPN
american_scientific_journal-6692	53	8	-	-	PUNCT
american_scientific_journal-6692	53	9	hill	hill	NOUN
american_scientific_journal-6692	53	10	companies	company	NOUN
american_scientific_journal-6692	53	11	,	,	PUNCT
american_scientific_journal-6692	53	12	inc	inc	PROPN
american_scientific_journal-6692	53	13	.	.	PROPN
american_scientific_journal-6692	53	14	,	,	PUNCT
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american_scientific_journal-6692	53	16	.	.	PUNCT
american_scientific_journal-6692	54	1	[	[	X
american_scientific_journal-6692	54	2	5	5	NUM
american_scientific_journal-6692	54	3	]	]	PUNCT
american_scientific_journal-6692	54	4	.	.	PUNCT
american_scientific_journal-6692	55	1	n.	n.	PROPN
american_scientific_journal-6692	55	2	h.	h.	PROPN
american_scientific_journal-6692	55	3	hau	hau	PROPN
american_scientific_journal-6692	55	4	et	et	PROPN
american_scientific_journal-6692	55	5	el	el	PROPN
american_scientific_journal-6692	55	6	.	.	PROPN
american_scientific_journal-6692	55	7	,	,	PUNCT
american_scientific_journal-6692	55	8	“	"	PUNCT
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american_scientific_journal-6692	55	17	and	and	CCONJ
american_scientific_journal-6692	55	18	decision	decision	NOUN
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american_scientific_journal-6692	55	21	”	"	PUNCT
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american_scientific_journal-6692	55	24	decision	decision	NOUN
american_scientific_journal-6692	55	25	sciences	science	NOUN
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american_scientific_journal-6692	55	27	vol	vol	NOUN
american_scientific_journal-6692	55	28	.	.	PROPN
american_scientific_journal-6692	55	29	24	24	NUM
american_scientific_journal-6692	55	30	,	,	PUNCT
american_scientific_journal-6692	55	31	issue	issue	NOUN
american_scientific_journal-6692	55	32	1	1	NUM
american_scientific_journal-6692	55	33	,	,	PUNCT
american_scientific_journal-6692	55	34	2020	2020	NUM
american_scientific_journal-6692	55	35	.	.	PUNCT