﻿ If A and B are square matrices of size n × n such that A2– B2– = (A – B)(A+ B), then which of the following will be always true   : Kaysons Education

# If A And B Are Square Matrices Of Size n × n such That A2– B2– = (A – B)(A+ B), Then Which Of The Following Will Be Always True

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

AB = BA

#### SIMILAR QUESTIONS

Q1

Find the rank of the matrix

Q2

Find the Adjoint of matrix

Q3

Find the inverse of the matrix

Q4

The value of λ for which the matrix product

is an identity matrix

Q5

If A and B are two matrix such that AB = B and BA = A, then A2 + B2 =

Q7

Then the value of α is

Q8

If  be the complex cube roor of unity and , then A70 is equal to

Q9

If A diag [d1d2d3], then An is equal to

Q10

If B is the inverse of A, the  is