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Matrices and Determinants

Section: Mathematics

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Question : 38

Total: 56

For 3×3 matrices M and N, which of the following statement(s) is (are) NOT correct ?

[JEE Adv 2013 P1]

NT MN is symmetric or skew symmetric, according as M is symmetric or skew symmetric
MN - NM is skew symmetric for all symmetric matrices M and N
MN is symmetric for all symmetric matrices M and N
(adj M) (adj N) = adj(MN) for all invertible matrices M and N

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