If a and B are non-singular symmetric matrices such that `AB=BA`, then prove that `A^(-1) B^(-1)` is symmetric matrix.

If A and B are two symmetric matrices then AB + BA is

If A and B are symmetric non singular matrices, AB = BA and A^(-1) B^(-1) exist, then prove that A^(-1)B^(-1) is symmetric.

Let A and B be two non-singular skew symmetric matrices such that AB = BA, then A^(2)B^(2)(A^(T)B)^(-1)(AB^(-1))^(T) is equal to

Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

If A, B are symmetric matrices of the same order then show that AB-BA is skew symmetric matrix.

If A and B are symmetric matrices of same order, prove that AB + BA is a symmetric matrix.

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

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

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