**Class 12 Maths Chapter 3 Exercise 3.2 NCERT Solutions**

Class 12 Maths Exercise 3.2 Solutions

Class 12 Maths Exercise 3.2 in Hindi

Class 12 Maths Chapter 3 Solutions

Class 12 Maths NCERT Solutions

Class 12 all Subjects NCERT Solutions

The NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2 Matrices in Hindi and English Medium modified and revised for session 2024-25. Class 12 Maths ex. 3.2 solutions are updated as per new textbooks issued by NCERT for academic year 2024-25.

Class: 12 | Mathematics |

Chapter 3: | Exercise 3.2 |

Topic Name: | Matrices |

Session: | 2024-25 |

Content Type: | Online Text, Images and Videos Format |

Medium: | English and Hindi Medium |

## Class 12 Maths Chapter 3 Exercise 3.2 Solutions

### Class 12 Maths Exercise 3.2 Solutions in Hindi and English Medium

UP Board Schools are also using NCERT Textbooks for session 2024-25. So, Download UP Board Solution for Class 12 Math Exercise 3.2 all the questions in PDF format.

Most of the Boards in India are now following NCERT, so, these 12th Maths Solutions are important for all the students following CBSE Syllabus. It depends on user whether download 12th Maths Exercise 3.2 in PDF file format or use online without downloading.

Class 12 Maths Exercise Solutions in Videos are given with complete explanation. The description of 12 Maths 3.2 is given in simple language so that student do not face any difficulty to understand. MP Board, Gujrat Board, Uttarakhand (UK Board), etc., are following 12th NCERT Books as course books.

Students of these states can also use these 10+2 Maths Solutions to take help in understanding. Hindi Medium solutions in Videos are also given just after the English Medium videos.

#### 12th Maths Exercise 3.2 Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2 Matrices Hindi Medium as well as English Medium to use online or download from the link given at the page. Get here all the exercises of Class 12 Mathematics Solutions Chapter 3. UP Board Solutions Class 12 Maths and UP Board NCERT Books with offline apps are given to free download for class 12. It is based on latest CBSE Syllabus are available to download to use offline. For the query of NIOS board can be discuss in Discussion Forum.

##### 12th Maths Chapter 3 Important Questions for Practice

1. If A is a square matrix such that A² = I, then write the value of (A – I)³ + (A + I)³ – 7A in the simplest form.

2. Give an example of (i) a row matrix which is also a column matrix. (ii) a diagonal matrix which is not scalar and (iii) a triangular matrix.

3. If A is a 3×3 matrix, |A| ≠ 0 and |3A| = k |A|, then write the value of k. [Answer: k = 27]

4. The sales figure of two car dealers during January 2017 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January – February revealed that dealer A sold 8 deluxe, 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2×3 matrices summarizing sales data for January and 2 – month period for each dealer.

### Important Questions of 12th Maths Exercise 3.2

### What is a Square Matrix?

A matrix in which the number of rows are equal to the number of columns, is said to be a square matrix. Thus an m × n matrix is said to be a square matrix if m = n and is known as a square matrix of order n.

### What is a Scalar Matrix?

A diagonal matrix is said to be a scalar matrix if its diagonal elements are equal.

### What do you understand by an Identity Matrix?

A square matrix in which elements in the diagonal are all 1 and rest are all zero is called an identity matrix.

### What is a Zero Matrix?

A matrix is said to be zero matrix or null matrix if all its elements are zero. We denote zero matrix by O.

###### 12th Maths Questions From Board Papers

1. If A is a square matrix, expressed as A = X + Y where X is symmetric and Y is skew-symmetric, then write the values of X and Y. [Answer: X = ½ (A + A’) and Y = ½ (A – A’)]

2. Write a matrix of order 3×3 which is both symmetric and skew symmetric matrix. [Answer: Zero matrix]

3. If A and B are square matrices of order 3 and |A| = 5 and |B| = 3, then find the value of |3AB|. [Answer: 405]

### What is the core motive of exercise 3.2 of class 12th Maths?

The core motive of exercise 3.2 of grade 12th Maths is to make the following topics clear to the students:

- Operations on matrices

a. Addition of matrices

b. Multiplication of a matrix by a scalar

c. Difference of matrices - Properties of matrix addition
- Properties of scalar multiplication of a matrix
- Multiplication of matrices
- Properties of multiplication of matrices.

### Which sums of exercise 3.2 of grade 12th Maths are of the same kind?

Exercise 3.2 has 14 examples (examples 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19) and 22 questions. Example 6 and questions 1 (i), 2 are of the same kind. Example 7 and questions 1 (ii) (iii), 5 are of the same type. Example 8 and question 8 are similar. Example 9 and question 7 are the same. Example 10 and questions 9, 10, 11, 12 are of the same kind. Example 11, 19 and questions 19, 20 are word problems. Example 12, 13, 14, 15, 16 and questions 1 (iv) (v), 3, 14 are similar. Example 18 and questions 15, 16, 17 are of the same kind.

### Which sums of exercise 3.2 of 12th Mathematics are expected for the first term board exams?

Exercise 3.2 of class 12th Maths has 14 examples (examples 6 to 19) and 22 questions. All the problems of this exercise are important and can come in the board exam, but the most important problems of exercise 3.2 of class 12th Maths are examples 8, 9, 10, 16, 17, 18 and questions 3, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22.

### Can students complete the exercise 3.2 of 12th NCERT Maths only in 4 days?

Students can complete exercise 3.2 of class 12th Maths in 4 days or not depends on student’s working speed, efficiency, capability, and many other factors. But if they try to complete exercise 3.2 of class 12th Maths in 4 days, they can easily do that.

### Is exercise 3.2 of grade 12th Maths easy or tough?

Exercise 3.2 of class 12th Maths is not easy and not tough. It lies in the mid of easy and tough because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level of any topic varies from child to child. So, exercise 3.2 of class 12th Maths is easy, or tough depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.

### Which questions are the best for 1st term exams from exercise 3.2 of class 12th Maths?

Questions 21 and 22 are the best questions of exercise 3.2 of class 12th Maths. These questions are interesting, logical and good. By doing these questions, student’s thinking ability increases.