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Matrices and Determinants question

2013 · Shift 1 · Q33

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PYQ Library
JEE Advanced
Mathematics
Matrices and Determinants
2013 · Shift 1 · Q33

Matrices and Determinants question

2013 · Shift 1 · Q33

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −1

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

A
NTMN is symmetric or skew symmetric, according as M is symmetric or skew symmetric.
B
MN – NM is skew symmetric for all symmetric matrices M and N.
C
MN is symmetric for all symmetric matrices M and N.
D
(adj M)·(adj N) = adj(MN) for all invertible matrices M and N.

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