Show that if A and B are symmetric and commute ,then
` A^(-1) B^(-1) ` are symmetric .

Show that if A and B are symmetric and commute ,then AB^(-1)

If A and B are symmetric matrices,then ABA is

If A and B are symmetric and commute,then which of the following is/are symmetric? A^(-1)B b.AB^(-1) c.A^(-1)B^(-1) d.none of these

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

Assertion (A) : If A and B are symmetric matrices, then AB - BA is a skew symmetric matrix Reason (R) : (AB)' = B' A'

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 (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric

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 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 the same order, show that AB+BA is symmetric.