Diketahui
matriks A = ⎧6 11⎫ dan B = ⎧1 -5⎫
⎩2 4 ⎭ ⎩0 2⎭.
Pembahasan:
AB = ⎧6 11⎫⎧1 -5⎫
⎩2 4 ⎭⎩0 2⎭
= ⎧6.1+11.0 6(-5)+11.2⎫
⎩2,1+4.0 2(-5)+4.2 ⎭
= ⎧6 -8⎫
⎩2 -2⎭
Maka, (AB)⁻¹ = 1 ⎧-2 8⎫
6(-2) – (-8)2 ⎩-2 6⎭
= 1 ⎧-2 8⎫
4 ⎩-2 6⎭
= 1 ⎧-1 4⎫
2 ⎩-1 3⎭