Home
Class 11
MATHS
If A and B are symmetric matrices of ord...

If A and B are symmetric matrices of order n,where`(A ne B)`,then:

A

A + B is skew symmetric

B

A + B is symmetric

C

A + B is a diagonal matrix

D

A + B is a zero matrix

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(IV)|6 Videos
  • SAMPLE PAPER -8

    FULL MARKS|Exercise PART-IV|13 Videos

Similar Questions

Explore conceptually related problems

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

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

If A and B are symmetric matrices of same order than AB-BA is a:

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

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n dY=A B-B A ,t h e n(X Y)^T is equal to X Y b. Y X c. -Y X d. none of these

Let A and B two 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 two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=