If A and B are non-singular square matrix of same order 3 × 3 , then which of the following options is correct?

Question

If A and B are non-singular square matrix of same order 3 × 3 , then which of the following options is correct?, a d j ( A B ) = A B, ( a d j A B ) - 1 = a d j ( A B ), a d j ( A B ) - 1 = ( a d j A B ) - 1, a d j ( A B ) T = A B - 2

MARKS App · Accepted Answer

a d j ( A B ) = A B 2 ( a d j A B ) - 1 = a d j A B - 1 a d j ( A B ) - 1 = ( A B ) - 1 2 = A B - 2 a d j ( A B ) - 1 = a d j A B - 1 = A B 2 - 1 = A B - 2 a d j ( A B ) T = ( A B ) T 2 = A B 2

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