NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4

NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4 are part of NCERT Solutions for Class 12 Maths . Here we have given NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4.

Board	CBSE
Textbook	NCERT
Class	Class 12
Subject	Maths
Chapter	Chapter 3
Chapter Name	Matrices
Exercise	Ex 3.4
Number of Questions Solved	18
Category	NCERT Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4

Using Elementary transformation, find the inverse each of matrices, if it exists in ques 1 to 17.

Question 1.
$\begin{bmatrix} 1 & -1 \\ 2 & 3 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 1 & -1 \\ 2 & 3 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 1

Question 2.
$\begin{bmatrix} 2 & 1 \\ 1 & 1 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & 1 \\ 1 & 1 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 2

Question 3.
$\begin{bmatrix} 1 & 3 \\ 2 & 7 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 1 & 3 \\ 2 & 7 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 3

Question 4.
$\begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 4

Question 5.
$\begin{bmatrix} 2 & 1 \\ 7 & 4 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & 1 \\ 7 & 4 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 5

Question 6.
$\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 6

Question 7.
$\begin{bmatrix} 3 & 1 \\ 5 & 2 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 3 & 1 \\ 5 & 2 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 7

Question 8.
$\begin{bmatrix} 4 & 5 \\ 3 & 4 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 4 & 5 \\ 3 & 4 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 8

Question 9.
$\begin{bmatrix} 3 & 10 \\ 2 & 7 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 3 & 10 \\ 2 & 7 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 9

Question 10.
$\begin{bmatrix} 3 & -1 \\ -4 & 2 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 3 & -1 \\ -4 & 2 \end{bmatrix}$
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 10

Question 11.
$\begin{bmatrix} 2 & -6 \\ 1 & -2 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & -6 \\ 1 & -2 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 11

Question 12.
$\begin{bmatrix} 6 & -3 \\ -2 & 1 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 6 & -3 \\ -2 & 1 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 12

Question 13.
$\begin{bmatrix} 2 & -3 \\ -1 & 2 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & -3 \\ -1 & 2 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 13

Question 14.
$\begin{bmatrix} 2 & 1 \\ 4 & 2 \end{bmatrix}$
Solution:
Let $A=\begin{bmatrix} 2 & 1 \\ 4 & 2 \end{bmatrix}$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 14

Question 15.
$\left[ \begin{matrix} 2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2 \end{matrix} \right]$
Solution:
Let $A=\left[ \begin{matrix} 2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2 \end{matrix} \right]$
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 15

Question 16.
$\left[ \begin{matrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 2 \end{matrix} \right]$
Solution:
Let $A=\left[ \begin{matrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 2 \end{matrix} \right]$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 16

Question 17.
$\left[ \begin{matrix} 2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{matrix} \right]$
Solution:
Let $A=\left[ \begin{matrix} 2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3 \end{matrix} \right]$
We know that
A = IA
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 17

Question 18.
Choose the correct answer in the following question:
Matrices A and B will be inverse of each other only if
(a) AB = BA
(b) AB = BA = 0
(c) AB = 0,BA = 1
(d) AB = BA = I
Solution:
Choice (d) is correct
i.e., AB = BA = I

We hope the NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4 help you. If you have any query regarding NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4

NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4

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