Let A and B be two symmetric matrices. prove that AB=BA if and only if AB is a symmetric matrix.

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

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

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, then ABA is

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

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

If A is a symmetric matrix ,then prove that adj A is also symmetric

Let A and B be symmetric matrices of same order. Then AB-BA is a skew symmetric matrix

if A and B are symmetric matrices of same order then (AB-BA) is :