Q.

If A and B two are 3x3 matrices, then which one of following is not true:

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a

(A+B)′=A′+B′

b

(AB)′=A′B′

c

det⁡(AB)=det⁡(A)det⁡(B)

d

A(adj⁡A)=|A|I3

answer is B.

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Detailed Solution

If A and B are two 3x3 matrices, then(AB)′=B′A′                             [Reversal Law]and not (AB)′=A′B′.
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If A and B two are 3x3 matrices, then which one of following is not true: