Home
Class 12
MATHS
If A and B are symmetric matrices of the...

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.

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-A)|20 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-B)|16 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are symmetric matrices of same order , then AB is symmetric if and only if …….. .

If A, B are symmetric matrices of same order, then AB-BA is a

If A and B are two matrices of the same order , then A-B=B-A.

If A and B are two matrices of the same order , then (AB) =A'B.

If A and B are two square matrices of the same order , then AB=Ba.

If A and B are matrices of same order , then (AB'-BA') is a ………….

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

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

If A , B and C are square matrices of same order, then AB=AC always implies that B=C.