If A is symmetric matrix, then B'AB is............

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

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

If A and B are symmetric matrices, then A B A is (a) symmetric matrix (b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

If A and B are symmetric matrices, then A B A is (a) symmetric matrix (b) skew-symmetric matrix (c) diagonal matrix (d) scalar 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 A is symmetric , then show that B' AB is symmetric matrix .

Fill in the blanks: If A is a symmetric matrix of order n and B is any square matrix of the same order then B'AB is a ……….. Matrix.

If A and B are symmetric matrices,then ABA is (a) symmetric matric b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [{:(2,3),(5,-1):}] , then AB is equal to

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [{:(2,3),(5,-1):}] , then AB is equal to