If A and B are symmetric matrices, prove that `AB-BA` is a skew symmetric matrix.

Define a skew-symmetric matrix.

If A and B are symmetric matrices, then A B A is

Define a symmetric matrix.

If A, B are symmetric matrices of same order, then AB-BA is a

If A and B are square matrices of same order and B is a skew symmetric matrix, then A'BA is Skew symmetric matrix

If A and B are two skew symmetric matrices of same order then AB is symmetric matrix if __________

Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) and (AB)A are symmetric matrices. Statement 2 : AB is symmetric matrix if matrix multiplication of A with B is commutative.

If A and B are symmetric matrices of the same order , then (AB-BA) is a :