Question

If $A$ is a square matrix, then $A-A^T$ is-

• A. unit matrix
• B. null matrix
• C. $A$
• D. a skew symmetric matrix

Answer 1

The correct option is D a skew symmetric matrix

${(A-A^T)}^T=A^T-{\left(A^T\right)}^T=A^T-A=-(A-A^T)$
Therefore, it is a skew symmetric matrix
Ans: D