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.