 # NCERT Solutions for Class 12 Maths Chapter 4 Determinants

## NCERT Solutions For Class 12 Maths Chapter 4 PDF Free Download

NCERT solutions for class 12 Maths chapter 4 Determinants, provides solutions for all the questions enlisted under the chapter (All Exercises and Miscellaneous Exercise solutions). Maths Class 12 NCERT Solutions are solved by maths experts. BYJUS is to bring out the very best in students through additional skill-building exercises that are tailored to their grade levels, abilities and interests. Students can download these NCERT Solutions of Class 12 mathematics and improve their skills.

### Access Answers of Maths NCERT Chapter 4 Determinants                                                                                   Also Access NCERT Exemplar for Class 12 Maths Chapter 4 CBSE Notes for Class 12 Maths Chapter 4

### NCERT Solutions for Class 12 Maths Chapter 4 Determinants

In Class 12 maths Chapter 4, students will study, how to calculate determinants, Solve matrix using different properties of determinants, area of triangle, adjoint and inverse of a matrix, applications of determinants and matrix and many more. Below are some important facts on determinants:

• If any two rows or any two columns are identical or proportional, then value of determinant is zero.
• A square matrix A has inverse if and only if A is non-singular.
• Unique solution of equation AX = B is given by X = A–1 B, where A ≠ 0.
• A system of equation is consistent or inconsistent according as its solution exists or not.
• For a square matrix A in matrix equation AX = B

(i) | A| ≠ 0, there exists unique solution

(ii) | A| = 0 and (adj A) B ≠ 0, then there exists no solution

(iii) | A| = 0 and (adj A) B = 0, then system may or may not be consistent.

### NCERT Solutions For Class 12 Maths Chapter 4 Exercises:

Get detailed solution for all the questions listed under below exercises:

Exercise 4.1 Solutions : 8 Questions (2 Long, 5 Short Answers, 1 MCQ)

Exercise 4.2 Solutions : 16 Questions(7 Long, 7 Short, 2 MCQ)

Exercise 4.3 Solutions : 5 Questions ( 4 Short Answers, 2 MCQ)

Exercise 4.4 Solutions : 5 Questions (4 Long, 1 MCQ)

Exercise 4.5 Solutions : 18 Questions (11 Long, 5 Short, 2 MCQ)

Exercise 4.6 Solutions : 16 Questions (13 Long, 3 Short)

Miscellaneous Exercise Solutions : 19 Questions (15 Long, 1 Short, 3 MCQ)

### NCERT Solutions for Class 12 Maths Chapter 4 Determinants

The main topics covered NCERT Solutions for Class 12, Chapter 4- determinants are:

 Exercise Topic 4.1 Introduction 4.2 Determinant 4.3 Properties of Determinants 4.4 Area of a Triangle 4.5 Minors and Cofactors 4.6 Adjoint and Inverse of a Matrix 4.7 Applications of Determinants and Matrices Others Miscellaneous Q&A

### Key Features of NCERT Solutions for Class 12 Maths Chapter 4 Determinants

1. Content is well-structured so that it becomes easier for students to learn and understand.
2. NCERT Solutions are based on latest CBSE syllabus.
3. Class 12 NCERT Solutions cover each and every important concept from each chapter.
4. Simple and easy language is used.
5. The solutions are comprehensive.
6. All the exercise problems are covered.