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.

Let A and B be 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. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. Statement-1 is true, Statement-2 is true; Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. Statement-1 is true, Statement-2 is false. Statement-1 is false, Statement-2 is true.

Let A and B are 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.

Let A and B are 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.

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

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

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

If A and B are symmetric matrices, then prove that AB +BA 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.