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 than AB-BA is a:

(i) If A and B are symmetric matrices of same order AB-BA is a skew symmetric matrix. (ii) [(1,-1,2),(5,7,2),(6,6,4)] is a singular matrix (iii) (AB)^(-1)=A^(-1)B^(-1) (iv) If A =((1,3),(0,1)) thus A^(3)=((1,27),(0,1)) .State which option is correct.

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

If A and B are symmetric matrices of order n,where (A ne B) ,then:

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 matrices of the same order, then A B^T-B A^T is a/an (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

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