Let and be two arbitrary non-zero |Maths|JEE Advance 2015

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Question

Let X and Y be two arbitrary, $3 \times 3$, non-zero, skew-symmetric matrices and Z be an arbitrary $3 \times 3$, nonzero, symmetric matrix. Then which of the following matrices is (are) skew symmetric?

Select ALL correct options:

A

$Y^3 Z^4-Z^4 Y^3$

B

$X^{44}+Y^{44}$

C

$X^4 Z^3-Z^3 X^4$

D

$X^{23}+Y^{23}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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