Physics Wallah

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2: This page consist of detail and accurate NCERT Solutions For Class 12 Maths Chapter 4-Determinants Exercise 4.2 prepared as per the requirements of CBSE board.
authorImageKrati Saraswat15 Jan, 2024
Share

Share

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants is prepared by academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of chapter 4. Given below is step by step solutions of all questions given in NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants.

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Overview

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 addresses these significant subjects. In order to fully comprehend the concepts presented in the chapter and make effective use of the provided solutions, it is recommended that students go over each topic in great detail. The intention is for students to effortlessly achieve excellent exam scores after reviewing and practicing these responses.

CBSE Class 12th Toppers List 2024

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 PDF

We have created comprehensive solutions for NCERT Class 12 Maths, Chapter 4 in order to assist students in comprehending and applying chapter concepts. These questions are meant to help students understand explanations more easily. To download the NCERT Solutions for Class 12 Maths, Chapter 4 PDF, click the following link:

NCERT Solutions Class 12 Maths Chapter 4 PDF Download Link

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2

Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 Determinants

Using the properties of determinants and without expanding in Exercise 1 to 5, prove that: Question 1. NCERT Solutions class 12 Maths Determinants Solution : NCERT Solutions class 12 Maths Determinants [Here, two columns of the determinants are identical]

CBSE 12th Result 2024

Question 2. chapter 4-Determinants Exercise 4.2 Solution : On Operating chapter 4-Determinants Exercise 4.2/image009.png
NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.3 NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.4
NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.5 NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.6
Question 3. chapter 4-Determinants Exercise 4.2/image011.png Solution : chapter 4-Determinants Exercise 4.2/image015.png
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3 NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4
NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise
Question 4. chapter 4-Determinants Exercise 4.2/image016.png Solution : chapter 4-Determinants Exercise 4.2/image018.png Question 5. chapter 4-Determinants Exercise 4.2/image023.png Solution : chapter 4-Determinants Exercise 4.2/image025.png = chapter 4-Determinants Exercise 4.2/image026.png
NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.1 NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.2
NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous Exercise
Question 6. chapter 4-Determinants Exercise 4.2 Solution : chapter 4-Determinants Exercise 4.2 Question 7. chapter 4-Determinants Exercise 4.2/image049.png Solution : chapter 4-Determinants Exercise 4.2/image050.png Question 8. chapter 4-Determinants Exercise 4.2/image060.png chapter 4-Determinants Exercise 4.2/image061.png Solution : chapter 4-Determinants Exercise 4.2/image032.png = chapter 4-Determinants Exercise 4.2/image072.png Question 9. NCERT Solutions class 12 Maths Determinants Solution : NCERT Solutions class 12 Maths Determinants Question 10. (i) NCERT Solutions class 12 Maths Determinants (ii) NCERT Solutions class 12 Maths Determinants Solution : chapter 4-Determinants Exercise 4.2/image104.png NCERT Solutions class 12 Maths Determinants Question 11. (i) chapter 4-Determinants Exercise 4.2/image119.png (ii) chapter 4-Determinants Exercise 4.2/image120.png Solution : chapter 4-Determinants Exercise 4.2/image121.png chapter 4-Determinants Exercise 4.2/image129.png Question 12. chapter 4-Determinants Exercise 4.2/image138.png Solution : chapter 4-Determinants Exercise 4.2/image139.png Question 13. chapter 4-Determinants Exercise 4.2/image151.png Solution : chapter 4-Determinants Exercise 4.2/image152.png Question 14. chapter 4-Determinants Exercise 4.2/image161.png Solution : chapter 4-Determinants Exercise 4.2/image162.png
NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.1 NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.2
NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.3 NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4
NCERT Solutions for Class 12 Maths Chapter 1 Miscellaneous Exercise
Question 15. Let A be a square matrix of order 3 x 3, then k |A| is equal to: (A) k |A| (B) k 2 |A| (C) k 3 |A| (D) 3k |A| Solution : chapter 4-Determinants Exercise 4.2/image177.png Therefore, option (C) is correct.

NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.2 FAQs

Is the determinant a scalar?

A determinant is a scalar value that can be calculated from the elements of a square matrix. It is an arrangement of numbers in the form | a b c d |.

Where do we use determinants in real life?

You can also use determinants in plotting graphs, statistics, scientific studies, and research in different areas. Determinants help represent the data like the population of people, death rate, hunger rate, etc. It is basically a method for plotting surveys.

Why is it called the determinant?

The term 'determinant' was first introduced by Gauss in Disquisitiones arithmeticae (1801) while discussing quadratic forms. He used the term because the determinant determines the properties of the quadratic form.

Is determinant a real number?

To every square matrix A = [aij] of order n, we can associate a number (real or complex) called determinant of the matrix A, written as det A, where aij is the (i, j)th element of A.

Who invented determinants?

In Europe, credit is usually given to his contemporary, the German coinventor of calculus, Gottfried Wilhelm Leibniz. In 1815 Cauchy published the first truly systematic and comprehensive study of determinants, and he was the one who coined the name.
Join 15 Million students on the app today!
Point IconLive & recorded classes available at ease
Point IconDashboard for progress tracking
Point IconMillions of practice questions at your fingertips
Download ButtonDownload Button
Banner Image
Banner Image
Free Learning Resources
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others

Copyright © 2025 Physicswallah Limited All rights reserved.