Diketahui matriks
A = ⎧-5 3⎫, B = ⎧1 -1⎫,
⎩-2 1⎭ ⎩1 -3⎭
Pembahasan:
AB = ⎧-5 3⎫⎧1 -1⎫ = ⎧-2 -4⎫
⎩-2 1⎭⎩1 -3⎭ ⎩-1 -1⎭
(AB)⁻¹ = 1 ⎧-1 4⎫
(-2)(-1) – (-4)(-1)⎩1 -2⎭
= 1 ⎧-1 4⎫
-2⎩1 -2⎭
= ⎧½ -2⎫
⎩-½ 1⎭