If A and B are square matrices of the same order, then $AB^T-BA^T$ is a

Symmetric matrix Skew-symmetric matrix Identity matrix Zero matrix

Skew-symmetric matrix

The correct answer is Option (2) → Skew-symmetric matrix $(AB^T-BA^T)^T=(AB^T)^T-(BA^T)^T$ $=BA^T-AB^T$ $(AB^T-BA^T)^T=-(AB^T-BA^T)$ so this is skew symmetric