NCERT Solutions for Maths Class 12 Exercise 3.4

# NCERT Solutions for Maths Class 12 Exercise 3.4

## NCERT Solutions for Maths Class 12 Exercise 3.4

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

### Maths Class 12 Ex 3.4 Question 1.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 2.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 3.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 4.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 5.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 6.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 7.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 8.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 9.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 10.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 11.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 12.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 13.

Solution:
In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 14.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 15.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 16.

Solution:
In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 Question 17.

Solution:

In order to use elementary row operations, we may write A = IA.

### Maths Class 12 Ex 3.4 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:
We know that the two matrices A and B are inverse of each other if AB = BA = I

Hence, option (D) is correct.