If A and B are square matrices of order 3 such that A = 3 and B = 2 , then the value of A - 1 a d j B - 1 a d j 3 A - 1 is equal to

Question

If A and B are square matrices of order 3 such that A = 3 and B = 2 , then the value of A - 1 a d j B - 1 a d j 3 A - 1 is equal to, 27, 27 4, 1 108, 1 4

MARKS App · Accepted Answer

A - 1 a d j B - 1 a d j 3 A - 1 = A - 1 a d j B - 1 a d j 3 A - 1 = 1 A B - 1 2 × 3 A - 1 2 = 1 A × 1 B 2 × 3 6 A 2 = 3 6 3 3 × 2 2 = 27 4

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