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JEE Advance 2013
Paper-1
Multiple correct answers - Select all that apply
Question
For 3×3 matrices M and N, which of the following statement(s) is (are) NOT correct?
Select ALL correct options:
A
$\mathrm{N}^{\top} \mathrm{M} \mathrm{N}$ is symmetric or skew symmetric, according as M is symmetric or skew symmetric
B
$\mathrm{M} \mathrm{N}-\mathrm{N} \mathrm{M}$ is skew symmetric for all symmetric matrices M and N
C
M N is symetric for all symmetric matrices M and N
D
$(\operatorname{adj} \mathrm{M})(\operatorname{adj} \mathrm{N})=\operatorname{adj}(\mathrm{MN})$ for all invertible matrices M and N
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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Mathematics
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