is a non-zero real number is a group with respect to matr… | CGP Edu

Maths Matrices and Determinants Karnataka - CET Previous Year Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

is a non-zero real number is a group with respect to matrix multiplication. In this group, the inverse of is

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

: Let there be an identity matrix

Then, by definition,

So,

Also,

l.

Now, let the inverse be

Then

is the identity]

Now, if in above, .

Similarly,

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