If A is any non-zero square matrix, then the matrix $P=\frac{1}{2}(A-A^T)$ is :

Symmetric Null matrix Skew-symmetric Scalar matrix

Skew-symmetric

The correct answer is Option (3) → Skew-symmetric $P=\frac{1}{2}(A-A^T)$ so $P^T=\frac{1}{2}(A-A^T)^T$ so $P^T=\frac{A^T-A}{2}=-P$ so P is skew symmetric