Matrices Practice Questions Ques8

Question: If $B$ is a skew-symmetric matrix, which of the following is true?

Options:

(A) $B^T = B$

(B) $B^T = -B$

(C) $B^T = I$

(D) $B^T = 0$

Show Answer

Answer: B

Explanation:

(A) Incorrect. This is the property of a symmetric matrix.

(B) Correct. By definition, a skew-symmetric matrix satisfies $B^T = -B$.

(C) Incorrect. This is not a general property of skew-symmetric matrices.

(D) Incorrect. This is not a general property of skew-symmetric matrices.