Home
Class 12
MATHS
If matrices A and B anticommute then...

If matrices A and B anticommute then

A

AB=BA

B

AB=-BA

C

`(AB)=(BA)^(-1)`

D

NOne of these

Text Solution

Verified by Experts

The correct Answer is:
B

A and B anticommute `iff AB=-BA`.
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (VALUE BASED QUESTIONS)|4 Videos
  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

If A and B matrices commute then

Let A and B be two nonsingular square matrices, A^(T) and B^(T) are the tranpose matrices of A and B, respectively, then which of the following are coorect ?

The sum and product of matrices A and B exist. Which of the following implications are necessarily true ? 1. A and B are square matrices of same order. 2. A and B are non-singular matrices Select the correct answer using the code given below :

Then sum and product of matrices A and B exist. Which of the following implications are necessarily true ? I. A and B are square matrices of same order II. A and B are non-singular matrices. Select the correct answer using the codes given below :

Two matrices A and B have in total 6 different elements (none repeated).How many different matrices A and B are possible such that product AB is defined.

For any two matrices A and B , we have

If A and B are square matrices of order ntimesn , then (A-B)^(2)=

If the square matrices A and B are such that AB=A and BA=B, then