If A is symmetric, prove that adj A is also symmetric.

If A is a symmetric matrix, prove that A^n is also symmetric for all positive integral n.

If A and B are square matrices of the same order and A is skew-symmetric, prove that B^t AB is also skew symmetric.

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

If a non-singular matrix A is symmetric ,show that A^(-1) is also symmetric

If A and B are square matrices of the same order and A is symmetric, then show that B^t AB is also symmetric.

Assertion (A) : If A is a symmetric matrix , then B' AB is also symmetric Reason (R) : (ABC)' = C'B'A'

For, a 3xx3 skew-symmetric matrix A, show that adj A 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.

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