Let A and B are two matrices of order 3 × 3 , where A = - 2 and B = 2 , then A - 1 a d j B - 1 a d j 2 A - 1 is equal to

Question

Let A and B are two matrices of order 3 × 3 , where A = - 2 and B = 2 , then A - 1 a d j B - 1 a d j 2 A - 1 is equal to, 2, - 2, 4, 8

MARKS App · Accepted Answer

We know that, A - 1 = 1 A a d j A = A 2 (for 3 × 3 matrices) A - 1 a d j B - 1 a d j 2 A - 1 = 1 A × B - 1 2 × 2 A - 1 2 = 1 A × 1 B 2 × 2 6 × 1 A 2 = 2 6 - 2 5 = - 2

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