If A is any non-zero square matrix, then the matrix P=1/2(A-A^T) is :

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