if A and B are square matrices of same order show that AB^T-BA^T is a skew symmetric matrix

# If A and B are square matrices of same order show that AB^T-BA^T

Consider any two distinct matrices of order 2 or 3

find AB and BA also find transpose of both.

Now find transpose AB - transpose of BA you will get matrix show that transpose of that matrix is multiplied by minus sign of original matrix. Hence it is a skwe symmetric matrix.