For 3 × 3 matrices M and N , which of the following statement(s) is (are) not correct?
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
For 3 × 3 matrices M and N, which of the following statement(s) is (are) not correct?
- NTMN 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.
Answer
(C) MN is symmetric for all symmetric matrices M and N .
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