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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.

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 1

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 2

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 3

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 4
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 4.1

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
byjus class 12 maths Chapter 3 Matrices 5

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 6

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 7

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 8

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 9
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 9.1

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}
byjus class 12 maths Chapter 3 Matrices 10

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 11
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 11.1

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 12

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 13

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
byjus class 12 maths Chapter 3 Matrices 14

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]
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 15
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 15.1
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 15.2
byjus class 12 maths Chapter 3 Matrices 15.3

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
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 16
byjus class 12 maths Chapter 3 Matrices 16.1
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 16.2
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 16.3

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
byjus class 12 maths Chapter 3 Matrices 17
NCERT Solutions for Class 12 Maths Chapter 3 Matrices 17.1

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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