Question

If A and B are symmetric matrices of the same order, then ____________.

पर्याय

• A – B is a skew-symmetric matrix

• AB + BA is a symmetric matrix

• AB – BA is a symmetric matrix

• AB is symmetric matrix

Answer 1

If A and B are symmetric matrices of the same order, then AB + BA is a symmetric matrix.

Explanation:

AB + BA is always a symmetric matrix if A and B are symmetric matrices of the same order.