id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
easat-4034	Ariyanti, Gregoria ; Sari, Ana Easti Rahayu Maya ; Manurung, Christina 	Notes on matrix inverse over min-plus algebra	2024	11	.pdf	application/pdf	5120	290	83	The 𝑖𝑗 −th element in 𝐴 ⊗ 𝑋 ⊗ 𝐴 with 1 ≤ 𝑖, 𝑗 ≤ 𝑛 in 𝐴 ⊗ 𝑋 ⊗ 𝐴 is [𝐴 ⊗ 𝑋 ⊗ 𝐴]𝑖𝑗 = 𝐴𝑖𝑗 . by determining whether or not there is a solution to the equation 𝐴 ⊗ 𝑋 ⊗ 𝐴 = 𝐴 with 𝐴 ∈ ℝ𝑚𝑖𝑛 𝑛×𝑚. The 𝑖𝑗 −th element in 𝐴 ⊗ 𝑋 ⊗ 𝐴 is [𝐴 ⊗ 𝑋 ⊗ 𝐴]𝑖𝑗 = 𝑚 ⨁′ 𝑘 = 1 𝑛 ⨁′ 𝑙 = 1 (𝐴𝑖𝑘 + 𝑋𝑘𝑙 + 𝐴𝑙𝑗).	cache/easat-4034.pdf	txt/easat-4034.txt