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For 3 xx 3 matrices M and N, which of th...

For `3 xx 3` matrices M and N, which of the following statement(s) is/are not correct?

A

`N^T MN` is symmetric or skew-symmetric, according as M is symmetric or skew-symmetric

B

MN-NM is symmetric for all symmetric matrices M and N

C

MN is symmetric for all symmetric matrices M and N

D

(adj M) (adjN) = adj(MN) for all invertible matrices M and N

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The correct Answer is:
C, D
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