# NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4

In this chapter, we provide NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4 pdf, free NCERT solutions for Class 12 Maths Chapter 3 Matrices Ex 3.4 book pdf download.

## 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.

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths Ex 3.4 Class 12 Maths Question 10.
$begin{bmatrix} 3 & -1 \ -4 & 2 end{bmatrix}$
Solution:
Let $A=begin{bmatrix} 3 & -1 \ -4 & 2 end{bmatrix}$

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths Question 15.
$left[ begin{matrix} 2 & -3 & 3 \ 2 & 2 & 3 \ 3 & -2 & 2 end{matrix} right]$
Solution:
Let $A=left[ begin{matrix} 2 & -3 & 3 \ 2 & 2 & 3 \ 3 & -2 & 2 end{matrix} right]$

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

Ex 3.4 Class 12 Maths 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

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