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

If A and B are symmetric matrices of the same order , then prove that following matrices are skew symmetric matrix :
(i) AB' -BA'
(ii) AB- BA

Text Solution

Verified by Experts

The correct Answer is:
(i) `=-(AB'-BA)`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Short Answer Type Questions)|8 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations (Very Short Answer Type Questions ) |16 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Short Answer Type Questions |16 Videos
  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos
  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If A, B are symmetric matrices of same order, then find AB-BA .

If A and B are square matrices of the same order , then find (A+B)(A-B).

If A and B are symmetric matrices of the same order with AB!= BA, final whether AB-BA is symmetric or skew symmetric.

If A and B are symmetric matrices , then prove that BA - 2AB is neither a symmetric matrix nor skew - symmetric matrix .

A and B are square matrices of the same order, prove that :If A,B and AB are all skew symmetric then AB+BA=0

Let A and B are symmetric matrices of the same order. Prove that AB is symmetric if and if AB = BA.

If Aand B are both symmetric matrices of same oder,then prove that AB is symmetric if and only if AB=BA.

If A and B are matrices of the same order and AB=BA, Then prove that A^2-B^2=(A-B)(A+B)

If A and B are invertible matrices of the same order, then prove that (AB)^(-1)=B^(-1)A^(-1)