NCERT Solutions for Class 12 Maths Chapter 4 Determinants: 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 CBSE 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 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 (Determinants Class 12 NCERT PDF) which is designed by some of India’s best teachers.
Download the full NCERT Solutions for Class 12 Maths by clicking the link below:
CBSE 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:
|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, the 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.
FAQs On CBSE NCERT Class 12 Maths Chapter 4 Solutions PDF
Some of the frequently asked questions related to Determinants questions and answers PDF and their answers are as under:
Q1. Where can I find NCERT Solutions for Class 12 Maths Chapter 4 online?
A. You can find Class 12 Maths Chapter 4 – Determinants solutions PDF for free on Embibe.
Q2. Are the NCERT 12th Maths Ch 4 solutions provided by Embibe free?
A. Yes, all NCERT solutions provided by Embibe are free to download. You do not even have to register or signup.
Q3. Where can I solve NCERT Class 12 Maths Chapter 4 questions online?
A. You can solve free CBSE Class 12 Maths Chapter 4 questions on Embibe. All questions come with detailed solutions.
Q4. How many problems are there in NCERT Solutions for Class 12 Maths Chapter 4?
A. NCERT Solutions for Class 12 Maths Chapter 4 have different exercises and numbers of problems so here is the complete list:
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 has 8 questions
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 has 16 questions
Exercise 4.3 and 4.4 has 5 questions
Exercise 4.5 has 18 questions
Exercise 4.6 has 16 questions
Miscellaneous Exercise has 19 questions.
Q5. Is PDF for NCERT Solutions for Class 12 Maths Chapter 4 available for free?
A. Yes, Embibe provides you complete NCERT Solutions for Class 12 Maths Chapter 4 PDF to download for free
Download NCERT Solutions for Class 12 Maths for other chapters from the table below:
|Class 12 Maths Chapter 3 Solutions||Class 12 Maths Chapter 5 Solutions||Class 12 Maths All Chapters Solutions|
So, now you have Class 12 Maths NCERT solutions Chapter 4 PDF download link.
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 help you in your preparation for JEE as well.
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