NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 Determinants in Hindi and English Medium prepared for session 2023-24. Class 12 Mathematics ex. 4.1 questions are updated as per new NCERT textbook for CBSE 2023-24.

## Class 12 Maths Exercise 4.1 Solution in Hindi and English Medium

### NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1

Get here grade 12th Mathematics Exercise 4.1 solutions in PDF file format. These solutions are useful for CBSE, Uttarakhand, Bihar Board, MP Board, UP Board students who are using NCERT Books for their board exams 2023-24. UP Board Students are using the same books for Maths as the CBSE Students. So, they can take help to solve Exercise 4.1 of 12th Maths. Download here the UP Board Solutions for 12th Maths Exercise 4.1 in Hindi Medium. Questions related to Exercise 4.1 are solved using the suitable properties and formulae. The 2×2 determinants can be solved directly but the proper expansion is given for a 3×3 determinants solutions. Videos related to each question are also given for better understanding of concepts.

Class: 12 | Mathematics |

Chapter 4: | Exercise 4.1 |

Topic Name: | Determinants |

Content: | NCERT Exercise Solutions |

Content Type: | Text and Videos Format |

Medium: | English and Hindi Medium |

#### 12th Maths Exercise 4.1 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 Determinants in English as well as Hindi Medium to study online as well as download in PDF for new academic session. Download NCERT Books and other supporting material based on latest CBSE Syllabus. Download UP Board Solutions for 12th Maths Chapter 4 Determinants here. Visit to discussion forum to ask your doubts related to NIOS board as well as CBSE Board.

#### How to solve Determinants?

To solve any determinant, we can expand it through any row R or column C. The result of the determinant is independent of it’s expansion through row or column. If any determinant or order n is multiplied by a real number k, the value of determinant become, k^n times the value of determinant.

##### Saaranikon ko hal karana

Pratyek saaranik ko ham kisee bhee stambh ke anudish ya phir kisee bhee pankti ke anudish prasaran karake praapt kar sakate hain. saranik ke maan par kisee pankti ya stambh vishesh ka koee prabhaav nahin hota hai arthaat sabhee se samaan maan praapt hota hai. yadi n koti vaale kisee saranik ko kisee sankhya vishesh k se se guna kiya jae to usaka maan k^n guna ho jaata hai.

### Important Questions of 12th Maths Exercise 4.1

### What is a Determinant?

To every square matrix A = [aij] of order n, we can associate a number (real or complex) called determinant of the square matrix A, where aij = (i, j)th element of A.

### What is the use of Determinants?

Determinants have wide applications in Engineering, Science, Economics, Social Science, etc.

### How do we find the determinant of a matrix of order 3 × 3?

Determinant of a matrix of order three can be determined by expressing it in terms of second order determinants. This is known as expansion of a determinant along a row (or a column). There are six ways of expanding a determinant of order 3 corresponding to each of three rows (R1, R2 and R3) and three columns (C1, C2 and C3) giving the same value.

### How can we make the determinant expansion easier?

For easier calculations, we shall expand the determinant along that row or column which contains maximum number of zeros.

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### Is exercise 4.1 of class 12th Maths simple in solving?

Yes, exercise 4.1 of class 12th Maths is very simple to understand and solve. Most of the students quickly solve all problems of this exercise. However, the difficulty level varies from child to child. So, exercise 4.1 of class 12th Maths is simple, 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.

### Is exercise 4.1 of class 12th Maths less time to practice?

Yes, exercise 4.1 of class 12th Maths is very short. There are only five examples (examples 1, 2, 3, 4, 5) and eight questions in exercise 4.1 of grade 12th Maths. Students need a maximum of 2 days to complete exercise 4.1 if they give 1 hour per day to this exercise. This time also depends on student’s working speed, efficiency, capability, and many other factors.

### How can students get good marks in exercise 4.1 of grade 12th Maths?

Exercise 4.1 of class 12th Maths contains five examples (examples 1, 2, 3, 4, 5) and eight questions. All questions and examples of this exercise are most important from the exam point of view. So, to get good marks in exercise 4.1 of grade 12th Maths, students should honestly practice these questions and examples. These questions can come in two or more than two marks in the exams.

### Which main topics will students study in exercise 4.1 of class 12th Maths?

In exercise 4.1 of class 12th Maths, students will study the following topics:

1. Meaning of determinants

2. Determinant of a matrix of order one

3. Determinant of a matrix of order two

4. Determinant of a matrix of order three