Q.

Assertion:  If A2    31    2 and B 2312, then B is the inverse of A
Reason: If A is a square matrix of order m and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is called the inverse of A.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

Both A and R are true and R is the correct explanation of A.

b

Both A and R are true and R is not the correct explanation of A.

c

A is true but R is false.

d

A is False but R is true.

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let A=2    31    2 and B=2312 be two matrices
 Then, AB=23122312=436+6223+4=1001=I
Also, BA=23122312=43662+23+4=1001=I
Thus, B is the inverse of A.
Both A and R are true and R is the correct explanation of A.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon