**NCERT Solutions for Class 12 Maths Chapter 4 Determinants PDF: **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. Then you need to go through NCERT Solutions for Class 12 Maths Chapter 4. Solving the NCERT Solutions for Class 12 Maths Chapter 4 will help every In this article, we will provide you with NCERT Solutions for Class 12 Maths Chapter 4 – Determinants.

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## NCERT Solutions For Class 12 Maths Chapter 4 PDF

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 of the questions at the end of every chapter. Find out the NCERT Solutions for Class 12 Maths Chapter 4 – Determinants which is designed by some of India’s best teachers. The topics and sub-topics included in the Determinants under this chapter 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 NCERT Solutions For Class 12 Maths Chapter 4 **Determinants **PDF Download

Students can also download the NCERT Solutions for Class 12 Maths Chapter 4 PDF from this page. Each and every question comes with detailed step by step solution which is strictly solved based on the CBSE NCERT guidelines.

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**NCERT Solutions For 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 according to 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.

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

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