Find the best tutors and institutes for Class 12 Tuition

Find Best Class 12 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Outside India?

NCERT Solutions for Class 12 Maths, Chapter 4 - Determinants

In the previous chapter, you studied Matrix and properties related to Matrix. In Class 12,
Chapter 4, you’ll study Determinants and their properties. The Determinant of a matrix
is the number obtained from a square matrix. The determinant of a matrix ‘A’ is denoted
by det (A), det A, or |A|. Determinants are very useful in analysing linear equations,
finding the inverse of a matrix, and in the field of calculus. Determinants have wide
applications in the field of science, engineering, economics, social sciences, computer
graphics, etc.

Let’s take a look at topics and sub-topics of Class 12 Maths, Chapter 4 - Determinants

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

In Class 12 Maths Chapter 4, you will learn -

Section 4.2 – In this section, you’ll learn about Determinants, Determinant of a matrix
of order one, Determinant of a matrix of order two, and Determinant of a matrix of
order three.

Section 4.3 – In this section, you’ll acquire knowledge about various properties of a
Determinant. These properties hold true for Determinants of any order.

Section 4.4 – In this section, you’ll learn how to depict the area of a triangle in the form
of a Determinant and study some important observations.

Section 4.5 – In this section, you’ll study how to write the expansion of a Determinant
in a compact form with the help of minors and cofactors.

Section 4.6 – In the previous chapter, you studied the inverse of a matrix. In this
section, you’ll study the condition for the existence of inverse of a matrix and also learn
to prove some important theorems.

Section 4.7 – In this section, you’ll know about some applications of Determinants and
Matrices for solving the system of linear equations in two or three variables and for
checking the consistency of the system of linear equations.

To know more about the Class 12 Maths Chapter 4 Determinants, you should explore the exercises below. You can also download the Determinants Class 12 NCERT
Solutions PDF, solved by expert Maths trainers.

How helpful was it?

How can we Improve it?

Please tell us how it changed your life *

Please enter your feedback

Please enter your question below and we will send it to our tutor communities to answer it *

Please enter your question

Please select your tags

Please select a tag

Name *

Enter a valid name.

Email *

Enter a valid email.

Email or Mobile Number: *

Please enter your email or mobile number

Sorry, this phone number is not verified, Please login with your email Id.

Password: *

Please enter your password

By Signing Up, you agree to our Terms of Use & Privacy Policy

Thanks for your feedback

About UrbanPro

UrbanPro.com helps you to connect with the best Class 12 Tuition in India. Post Your Requirement today and get connected.

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 25 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 6.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more