**NCERT Solutions for Class 12 Maths Chapter 4 Determinants PDF: **If you are looking for the NCERT Solutions for Class 12 Maths Chapter 4, you have come to the right place. In this article, we will provide you with the CNSE Class 12 Maths Chapter 4 Solutions solved by top experts at Embibe.

For both CBSE Class 12 board exams and competitive entrance exams like JEE and NEET, NCERT textbooks must be thoroughly finished. These books not only help in having your basics clear but also help in improving your problem-solving abilities. In order to make the best use of these books, you need to solve all the problems at the end of every chapter.

As Determinant is an easy and scoring chapter, you need to finish it thoroughly. Then you need to go through NCERT Solutions for Class 12 Maths Chapter 4. Going through the NCERT Solutions for Class 12 Maths Chapter 4 will clear all your doubts. Go through this article and download free PDF of NCERT Solutions for Class 12 Maths Chapter 4 – Determinants.

## NCERT Solutions For Class 12 Maths Chapter 4 **Determinants **PDF Download

Students can also download the **CBSE Class 12 Maths Chapter 4 Solutions PDF** from this page. Each and every question comes with a detailed, step-by-step solution that is strictly solved based on the CBSE NCERT guidelines. Find out the NCERT Solutions for 12th Class Maths Chapter 4 – Determinants which is designed by some of India’s best teachers.

*Download the full NCERT Solutions for Class 12 Maths by clicking the link below:*

**Download Determinants NCERT Solutions PDF**

**Class 12 Maths Chapter 4 Determinants** Important Questions

Some of the important questions from this chapter are as under:

### CBSE Class 12 Maths Chapter 4: Determinant Topics

NCERT Maths is especially important for engineering aspirants. So, students must finish the NCERT Maths textbooks as early as possible and then move onto some other reference books. To clear any doubts, they must go through the solutions to the questions at the end of every chapter. The topics and sub-topics included in the NCERT Class 12 Maths Chapter 4 – Determinants are tabulated below:

1 | Introduction |

2 | Determinant |

3 | Determinant of a Matrix of Order One |

4 | Determinant of a Matrix of Order Two |

5 | Determinant of a Matrix of Order 3 × 3 |

6 | Properties of Determinants |

7 | Area of a Triangle |

8 | Minors and Cofactors |

9 | Adjoint and Inverse of a Matrix |

10 | Adjoint of a matrix |

11 | Applications of Determinants and Matrices |

12 | Solution of System of Linear Equations Using Inverse of a Matrix |

**CBSE Class 12 Maths Chapter 4: Determinants**

The **determinant** is a scalar value that can be measured from the elements of a square matrix and encodes certain properties of the linear transformation described by the matrix. The determinant of a matrix *A* is denoted det(*A*), det *A*, or |*A*|. Geometrically, it can be viewed as the volume scaling factor of the linear transformation described by the matrix. This is also the signed volume of the *n*-dimensional parallelepiped spanned by the column or row vectors of the matrix. The determinant is positive or negative depending upon whether the linear mapping preserves or reverses the orientation of *n*-space.

In the case of a 2 × 2 matrix, the determinant may be defined as

Similarly, for a 3 × 3 matrix *A*, its determinant is

So in this chapter, you will study determinants up to order three only with real entries. Also, you will study various properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle, adjoint and inverse of a square matrix, consistency, and inconsistency of system of linear equations and solution of linear equations in two or three variables using the inverse of a matrix.

Embibe provides **CBSE study material** that covers the whole CBSE Class 12 syllabus for Maths. You can also solve **CBSE Class 12 Maths practice questions** that will also help you in your preparation for JEE as well.

*We hope this article has been helpful to you. If you have any queries/ doubts, leave them in the comment section below. We will get back to you at the earliest.*

**1009**Views