NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants in Hindi and English Medium modified for academic year 2024-25. Class 12 Maths ex. 4.3 is revised and updated for new academic session 2024-25 based on ratioalised NCERT books.

## Class 12 Maths Exercise 4.3 Solution in Hindi and English Medium

### NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3

12th Maths Ex. 4.3 is for those users who are concerned with NCERT Textbooks for their studies and CBSE Exams. Exercise 4.3 is based on the expansion of determinants and the basic ideas of Co-factor and Minors. Co-factors help to determine the inverse of a Matrix as well as helps in the solutions of simultaneous system of linear equations. All the questions are given below in Hindi and English Medium. Videos related to each question of 12th Maths Ex. 4.3 are given below with complete explanation. UP Board students also can download UP Board Solutions for 12th Mathematics Exercise 4.3 here. We have updated all the solutions as per the suggestions received by the students/teachers. Your suggestions are important in improving this website contents.

#### 12th Maths Exercise 4.3 Solutions

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 Determinants solutions based on Minors and Co-factors. We can use cofactors of any row or column along with elements to solve the determinants. Get the NCERT Books in PDF and NCERT solutions of other exercises of Class 12 Mathematics Chapter 4 from the main page.

Class: 12 | Mathematics |

Chapter 4: | Exercise 4.3 |

Chapter Name: | Determinants |

Content: | NCERT Exercise Solutions |

Content Type: | Text, Images and Videos Format |

Medium: | English and Hindi Medium |

##### About 12th Maths Exercise 4.3 of Determinants

It is very important to know that how to calculate Minors and Cofactors as it is required during the solutions of determinants as well as to find the inverse of a Matrix. To find the inverse of a Matrix, we need to calculate Cofactors in order to find adjoint of Matrix. In this exercise the main mistake occurs due the selection of sign of cofactors, so be careful during the calculation of cofactors.

### Important Questions of 12th Maths Exercise 4.3

### What are the uses of matrix and determinant?

A matrices is normally used to represent the coefficients of variables in a system of linear equations whereas the properties of determinant help us to solve these equations. Determinants is also used in calculus as the Jacobian determinant.

### Is determinant exist for a non-square matrix also?

No, determinants exist only for a square matrix only. The number of rows must be same as number of columns.

### In what situation the determinant of a matrix is 0?

For a non-invertible square matrix, the determinant of a square matrix is zero. Moreover, when the determinant of a matrix is zero, the system of linear equations associated with the matrix is dependent.

### Can a determinant be negative also?

Determinants of square matrices may be negative, positive or zero.

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### How can students get good marks in exercise 4.3 of grade 12th Maths?

Exercise 4.3 of 12th standard Maths contains four examples (examples 19, 20, 21, 22) and five questions. All questions and examples of this exercise are most important from the exam point of view. So, to get good marks in exercise 4.3 of grade 12th Maths, students should honestly practice all questions and examples of this exercise. These problems can come in two or more than two marks in the board exams.

### Is exercise 4.3 chapter 4 Determinants class 12th Maths short?

Yes, exercise 4.3 of class 12th Maths is very short. There are only four examples (examples 19, 20, 21, 22) and five questions in exercise 4.3 of grade 12th Maths. Students need a maximum of 2 days to complete exercise 4.3 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.

### What can students find easily after completing exercise 4.3 of 12th standard Maths?

After completing exercise 4.3 of 12th standard Maths, students can easily find the minor of an element of a determinant and the cofactor of an element of a determinant.

### Is exercise 4.3 of chapter 4 Determinants of class 12th Maths complicated?

No, exercise 4.3 of chapter 4 (Determinants) of class 12th Maths is not at all complicated.

It is the straightforward exercise of chapter 4 (class 12th Maths). This exercise is the student’s favorite exercise.

Students quickly solve all questions of this exercise without any difficulty because the questions of this exercise are nice and easy.

Also, the solutions of questions of exercise 4.3 are short with easy calculations.