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

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

Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 7.2|22 Videos
  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 7.3|5 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos
  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos

Similar Questions

Explore conceptually related problems

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

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

(i) If A and B are symmetric matrices of same order AB-BA is a skew symmetric matrix. (ii) [(1,-1,2),(5,7,2),(6,6,4)] is a singular matrix (iii) (AB)^(-1)=A^(-1)B^(-1) (iv) If A =((1,3),(0,1)) thus A^(3)=((1,27),(0,1)) .State which option is correct.

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

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

If A and B are matrices of the same order, then A B^T-B A^T is a/an (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

Let A and B be two symmetric matrices. Prove that AB= BA if and only if AB is a symmetric matrix.

If A, B are square materices of same order and B is a skewsymmetric matrix, show that A^(T)BA is skew-symmetric.

If a and B are non-singular symmetric matrices such that AB=BA , then prove that A^(-1) B^(-1) is symmetric matrix.