Matrices Practice Questions Ques11

Question: If $A$ is a symmetric matrix, which of the following is true?

Options:

(A) $A^T = -A$

(B) $A^T = A$

(C) $A^T = I$

(D) $A^T = 0$

Show Answer

Answer: B

Explanation:

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

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

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

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