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

If A, 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 a ……

If A,B are square matrices of same order and B is a skew -symmetric matrix , show that A'BA is skew symmetric.

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.

If A and B are symmetric matrices of the same order , then show that AB is symmetric if and only if A and B commute , that is AB=BA.

If A and B are symmetric matrices of same order , then AB is symmetric if and only if …….. .

If a matrix A is a symmetric matrix then show that A^(n) is also a symmetric matrix . Where n in N .

For the matrix A=[{:(1,5),(6,7):}] ,verify that (i) (A+A) is a symmetric matrix. (ii) (A-A) is a skew symmetric matrix.

If A is skew symmetric matrix , then A^(2) is a symmetric matrix .

Prove that if A is a square matrix then ,(i) (A+A') is a symmetric metrix. (ii) (A-A') is a skew symmetric matrix.