Matrices Practice Questions Ques10
Question: If $A$ is a skew-symmetric matrix, which of the following is true about $A^3$?
Options:
(A) $A^3$ is always skew-symmetric.
(B) $A^3$ is always symmetric.
(C) $A^3$ is always zero.
(D) $A^3$ is always an identity matrix.
Show Answer
Answer: A
Explanation:
(A) Correct. The cube of a skew-symmetric matrix is always skew-symmetric.
(B) Incorrect. The cube of a skew-symmetric matrix is not necessarily symmetric.
(C) Incorrect. This is not a general property of skew-symmetric matrices.
(D) Incorrect. This is not a general property of skew-symmetric matrices.
BETA
