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# NCERT Books for Class 12 Math Chapter-4 Determinants Free PDF Download

Last updated date: 09th Aug 2024
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Free NCERT Books download for Class 12 Math Chapter 4 - (Determinants) on Vedantu.com. Students can also download the NCERT Textbooks Solutions in PDF for Class 6 to 12 all subjects. Register for Mathematics tuition to clear your doubts and score more in your exams.Vedantu provides NCERT Solutions For Class 12 Math Chapter 4 Determinants, which are provided by our professional professors. The step-by-step solutions to all of the questions in the chapter, that are part of the CBSE syllabus 2024-25's term I, are given in an elaborate manner. Each answer has been described with the help of appropriate examples or formulas. The marking scheme is taken into account while writing the NCERT Solutions for Class 12 Math. Vedantu strives to bring out the best in kids by providing extra skill-building activities that are targeted to their grade levels, abilities, and interests.

A determinant is a numerical value that can only be calculated for square matrices. When solving a system of linear equations, the determinant is used to determine whether the system has a unique solution or not. It has a lot of uses in science, engineering, social sciences, and economics, among other fields. Finding the determinant of a 22 matrix, 33 matrix, assessing the area of the triangle, and many other things are all covered in the solutions provided by Vedantu. Calculating the determinant of a matrix using minor and cofactor, adjoint, and inverse are also incorporated into the material here. Students may now download the NCERT Solutions for Class 12 Math Chapter 4 in PDF format for free using the link provided below.

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## About the Book and the Chapter

There are six exercises in Chapter Determinants, plus a miscellaneous exercise that includes all of the chapter's questions. The following subjects are covered in Chapter 4 NCERT Solutions for Class 12 Math Term I:

### Introduction

Students have already learned how to use matrices to express a system of linear equations and how to use the determinant to determine whether or not the system has a unique solution. Under this section, these things will be altered.

### Determinant

In this section, students will be able to find the determinant of a square matrix of various orders, along with other examples, in this section.

### Properties of Determinants

Students learned how to expand the determinants in the previous part. In this section, they will look at certain determinant qualities that make evaluating them easier by determining the greatest number of zeros in a row or column. These principles hold true for any order of determinants. However, it has only been applied to determinants of order three in this chapter.

### Area of Triangle

When the coordinates of three vertices are supplied, we may use the formula to get the area of a triangle. You'll learn how to find the area of a triangle by translating the points into a determinant in this section.

## FAQs on NCERT Books for Class 12 Math Chapter-4 Determinants Free PDF Download

1. What is the total number of problems in NCERT Solutions for Class 12 Math Chapter 4?

NCERT Solutions offers 8 questions in Exercise 4.1, 16 questions in Exercise 4.2, 5 questions in Exercises 4.3 and 4.4, 18 questions in Exercise 4.5, 16 questions in Exercise 4.6, and 19 questions in the miscellaneous exercise. Each activity contains long answers, short answers, and MCQs that cover the areas that are significant for the first term test. The answers for the exercise-specific challenges are created by a team of Vedantu professionals with extensive conceptual expertise.

2. What are the applications of determinants as taught in Chapter 4 of Class 12?

In Math Chapter 4 of Class 12, determinants is the topic in the book that has a number of applications. Determinants is a key subject in algebra that has a variety of applications. This notion can be applied to the solution of a collection of linear equations. The students will be able to grasp the ways in which they can change area, volume, and variables in terms of integrals using determinants. The matrices' values can also be calculated with it.

3. What kind of questions can I expect from NCERT Solutions for Class 12 Math Chapter 4 in the first term exams?

You can find a number of questions to practice and top the coming exam. This chapter will cover issues using the use of determinants to solve a set of linear equations. Proofs that can be derived using determinant theory and show that sums are also essential from the perspective of the term – I exam are also present in the solutions. You should use determinants and their resulting values to determine the values of unknown variables in some instances.

4. Why are the NCERT Solutions better than other books?

The NCERT Solutions have a number of characteristics that set it apart from other books. Here are the following points:

• Subject matter specialists with a thorough command over the core subjects solve the NCERT challenges.

• Every step is explained in easy words so that students may quickly grasp how to handle difficult situations.

• The solutions are provided in a stepwise manner on the basis of the weighted average of the CBSE term I test.

5. How to download Class 12 Math Chapter 4 NCERT Book for CBSE?