Matrices Practice Questions Ques9

Question: If $A$ is a skew-symmetric matrix, what is the value of $A + A^T$?

Options:

(A) $2A$

(B) $0$

(C) $A$

(D) $-A$

Show Answer

Answer: B

Explanation:

(A) Incorrect. This is not true for skew-symmetric matrices.

(B) Correct. For a skew-symmetric matrix $A$, $A + A^T = 0$.

(C) Incorrect. This is not true for skew-symmetric matrices.

(D) Incorrect. This is not true for skew-symmetric matrices.