Question

Let $A$ be a square matrix and ${{A}^{T}}$ is its transpose, then $A+{{A}^{T}}$ is

• A. a diagonal matrix
• B. a symmetric matrix
• C. the identity matrix
• D. a skew-symmetric matrix

Answer 1

Answer: (B)

a symmetric matrix

Answer 2

We know that, $A+{{A}^{T}}$ is always a symmetric matrix.