Exercise 3.4 (Revised) - Chapter 3 - Matrices - Ncert Solutions class 12 - Maths
Updated On 26-08-2025 By Lithanya
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NCERT Solutions Class 12 Maths: Chapter 3 - Matrices | Comprehensive Guide
Ex 3.4 Question 1:
Matrices A and B will be inverse of each other only if
A. AB = BA
C. AB = 0, BA = I
B. AB = BA = 0
D. AB = BA = I
Answer:
Answer: D
We know that 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 said to be the inverse of A. In this case, it is clear that A is the inverse of B.
Thus, matrices A and B will be inverses of each other only if AB = BA = I.
