Question

If a matrix $A$ is both symmetric and skew symmetric, then

• A. A is diagonal matrix
• B. A is a zero matrix
• C. A is scalar matrix
• D. A is square matrix

Answer 1

Answer: (B)

A is a zero matrix

Answer 2

Let $A$ be a matrix which is both symmetric and skew symmetric.
$\therefore A' = A$ and $A' = - A$
This is possible only when $A$ is zero matrix .