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

Let A and B be symmetric matrices of the same order. Then show that : A+B is a symmetric matrix

If A and B are symmetric matrices,prove that ABBA 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.

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

If A and B are two symmetric matrix of same order,then show that (AB-BA) is skew symmetric matrix.

If A and B are symmetric matrices then AB-BA is a Symmetric Matrix (b) Skewl symmetric matrix Diagonal matrix (d) Null matrix

If AB are symmetric matrices of same order then show that AB-BA is a skew symmetric matrix.