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Let A and B be 3 xx 3 matrices of real ...

Let A and B be `3 xx 3` matrices of real numbers, where A is symmetric , B is skew symmetric and (A + B) (A - B) = (A - B) ( A + B). If `(AB)^(t) = (-1)^(k) AB`, where `(AB)^(t)` is the transpose of the matrix AB, then k is a)any integer b)odd integer c)even integer d)cannot say anything

A

any integer

B

odd integer

C

even integer

D

cannot say anything

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The correct Answer is:
B
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