If A and B are symmetric matrices, then ABA is

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 write the condition for which A B is also symmetric.

If A and B are symmetric matrices, then show that A B is symmetric if A B=B A i.e. A and B commute.

If A and B are symmetric matrices, then (i) AB-BA is a .......... (ii) BA-2AB is a.............

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 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 symmetric matrices of the same order, write whether A B-B A is symmetric or skew-symmetric or neither of the two.

If A and B are symmetric matrices of the same order, show that AB+BA is symmetric.

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 A B = B A .

If A and B are symmetric matrices of the same order and X=AB+BA and Y=AB-BA, then (XY)^T is equal to : (A) XY (B) YX (C) -YX (D) non of these