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

JEE Advanced 2015 Mathematics question

Let and be two arbitrary, , non-zero, skew-symmetric matrices and be an arbitrary , non-zero, symmetric matrix. Then which of the following matrices is (are) skew symmetric?

(A)
(B)
(C)Correct
(D)Correct

Answer: (C),(D)

Solution

, , , so and . (A) : symmetric. (B)

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Question ID VK-026412