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.