For any square matrix $A;(A-A')$ is : |
Symmetric matrix Null matrix Identity matrix Skew-symmetric matrix |
Skew-symmetric matrix |
$A' \text{ denotes transpose of } A.$ $A-A' = -(A'-A).$ $(A-A')' = A'-A = -(A-A').$ $\text{ therefore } A-A' \text{ is skew-symmetric.}$ $\text{Correct option: Skew-symmetric matrix}.$ |