id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-2017	Kobayashi, Yukio	Commutative Law for the Multiplication of Matrices as Viewed in Terms of Hankel's Principle	2014	7	.pdf	application/pdf	2731	136	67	The disagreement of b′(a′x) and (b′a′)x is due to the multiplication of the 1× n matrix b′ and the 1×1 matrix a′x in the order violating the rule of matrix multiplication. Taking this view, “the principle of the permanence of form and its transition” also holds for the commutative law for matrix multiplication.	cache/ejpam-2017.pdf	txt/ejpam-2017.txt