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)

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