NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 3: Matrices (Part X)
Find Class 12 Maths NCERT Solutions for Chapter 3 Matrices. In his article, you will get the detailed solution of exercise 3.4 (from question number 10 to question number 17). Most of the questions given here are based on concepts related to Inverse of a matrix by elementary operations etc., Elementary Operation (Transformation) of a Matrix, Invertible Matrices etc. These questions are also important for Class 12 Maths board exam 2018 and other competitive exams like WBJEE, JEE Mains, UPSEE etc.
NCERT Solutions for CBSE Class 12th Maths, Chapter 3: Matrices (Exercise 3.4) from question number 10 to 17 are given below:
Matrices A and B will be inverse of each other only if
(A) AB = BA
(B) AB = 0, BA = I
(C) AB = BA = 0
(D) AB = BA = I
If A is a square matrix of order m, If there exists another square matrix B of the same order m, such that AB = BA = I,
Then, B = A‒1
In this case, it is clear that A is the inverse of B.
Correct option is (D).