JEE Exam > JEE Notes > Mathematics (Maths) for JEE Main & Advanced > NCERT Solutions Exercise 4.4: Determinants
NCERT Solutions Class 12 Maths Chapter 4 - Determinants
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 Question 1: Find adjoint of each of the matrices. Answer Question 2: Find adjoint of each of the matrices. Answer Page 2 Question 1: Find adjoint of each of the matrices. Answer Question 2: Find adjoint of each of the matrices. Answer Page 3 Question 1: Find adjoint of each of the matrices. Answer Question 2: Find adjoint of each of the matrices. Answer Question 3: Verify A (adj A) = (adj A) A = I . Answer Page 4 Question 1: Find adjoint of each of the matrices. Answer Question 2: Find adjoint of each of the matrices. Answer Question 3: Verify A (adj A) = (adj A) A = I . Answer Question 4: Verify A (adj A) = (adj A) A = I . Answer Page 5 Question 1: Find adjoint of each of the matrices. Answer Question 2: Find adjoint of each of the matrices. Answer Question 3: Verify A (adj A) = (adj A) A = I . Answer Question 4: Verify A (adj A) = (adj A) A = I . Answer Question 6: Find the inverse of each of the matrices (if it exists). AnswerRead More
|
209 videos|443 docs|143 tests
|
FAQs on NCERT Solutions Class 12 Maths Chapter 4 - Determinants
| 1. What are determinants and why are they important in mathematics? |  |
Ans. Determinants are mathematical objects that are used to solve systems of linear equations, calculate areas and volumes, and determine the invertibility of matrices. They are important because they provide crucial information about the properties and behavior of linear transformations and matrices.
| 2. How are determinants calculated for matrices of different dimensions? | |
Ans. The calculation of determinants depends on the dimensions of the matrix. For 2x2 matrices, the determinant is found by subtracting the product of the diagonal elements from each other. For 3x3 matrices, the determinant can be calculated using a formula involving the cross products of the matrix elements. For higher dimensions, determinants can be calculated recursively using cofactor expansion.
| 3. What is the significance of the determinant value? | |
Ans. The determinant value provides important information about the matrix. If the determinant is zero, it implies that the matrix is not invertible and the system of equations represented by the matrix does not have a unique solution. A non-zero determinant indicates that the matrix is invertible and the system of equations has a unique solution.
| 4. How can determinants be used to find the area of a triangle? | |
Ans. Determinants can be used to find the area of a triangle by considering the coordinates of its vertices. By forming a matrix with the x-coordinates of the vertices in the first column, the y-coordinates in the second column, and a column of ones in the third column, the absolute value of half the determinant of this matrix gives the area of the triangle.
| 5. Can determinants be negative? | |
Ans. Yes, determinants can be negative. The sign of the determinant depends on the arrangement of the elements in the matrix. If the arrangement of the elements leads to an odd number of row exchanges during the calculation of the determinant, the determinant will be negative. If there are an even number of row exchanges, the determinant will be positive.
Related Exams
About this Document
|
4.91/5 Rating |
|
Oct 26, 2024 Last updated |
Document Description: NCERT Solutions Exercise 4.4: Determinants for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
The notes and questions for NCERT Solutions Exercise 4.4: Determinants have been prepared according to the JEE exam syllabus. Information about NCERT Solutions Exercise 4.4: Determinants covers topics
like and NCERT Solutions Exercise 4.4: Determinants Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions Exercise 4.4: Determinants.
Introduction of NCERT Solutions Exercise 4.4: Determinants in English is available as part of our Mathematics (Maths) for JEE Main & Advanced
for JEE & NCERT Solutions Exercise 4.4: Determinants in Hindi for Mathematics (Maths) for JEE Main & Advanced course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: NCERT Solutions Class 12 Maths Chapter 4 - Determinants
Description
Full syllabus notes, lecture & questions for NCERT Solutions Class 12 Maths Chapter 4 - Determinants - JEE | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) for JEE Main & Advanced | Best notes, free PDF download
Information about NCERT Solutions Exercise 4.4: Determinants
In this doc you can find the meaning of NCERT Solutions Exercise 4.4: Determinants defined & explained in the simplest way possible. Besides explaining types of
NCERT Solutions Exercise 4.4: Determinants theory, EduRev gives you an ample number of questions to practice NCERT Solutions Exercise 4.4: Determinants tests, examples and also practice JEE
tests
|
209 videos|443 docs|143 tests
|
Download as PDF
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
study material
,Free
,Summary
,Semester Notes
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,Important questions
,ppt
,Exam
,mock tests for examination
,past year papers
,Previous Year Questions with Solutions
,practice quizzes
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,MCQs
,video lectures
,Extra Questions
,shortcuts and tricks
,Sample Paper
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,Viva Questions
,Objective type Questions
;
Additional Information about NCERT Solutions Exercise 4.4: Determinants for JEE Preparation
NCERT Solutions Exercise 4.4: Determinants Free PDF Download
The NCERT Solutions Exercise 4.4: Determinants is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the NCERT Solutions Exercise 4.4: Determinants now and kickstart your journey towards success in the JEE exam.
Importance of NCERT Solutions Exercise 4.4: Determinants
The importance of NCERT Solutions Exercise 4.4: Determinants cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
NCERT Solutions Exercise 4.4: Determinants Notes
NCERT Solutions Exercise 4.4: Determinants Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to NCERT Solutions Exercise 4.4: Determinants.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, NCERT Solutions Exercise 4.4: Determinants Notes on EduRev are your ultimate resource for success.
NCERT Solutions Exercise 4.4: Determinants JEE Questions
The "NCERT Solutions Exercise 4.4: Determinants JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study NCERT Solutions Exercise 4.4: Determinants on the App
Students of JEE can study NCERT Solutions Exercise 4.4: Determinants alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the NCERT Solutions Exercise 4.4: Determinants,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of NCERT Solutions Exercise 4.4: Determinants is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup