JEE Exam > JEE Notes > Mathematics (Maths) Class 12 > NCERT Solutions Exercise 4.3: Determinants
NCERT Solutions Class 12 Maths Chapter 4 - Determinants
Q1: Write Minors and Cofactors of the elements of following determinants:
Ans: (i) The given determinant is 
Minor of element aij is Mij.
Q2:
Ans:
Q3: Using Cofactors of elements of second row, evaluate Δ =
.
Ans: The given determinant is
.We have:
We know that ∆ is equal to the sum of the product of the elements of the second row with their corresponding cofactors.
∆ = a21A21 + a22A22 + a23A23 = 2(7) + 0(7) + 1(−7) = 14 − 7 = 7.
Q4: Using Cofactors of elements of third column, evaluate Δ= 
Ans: The given determinant is 
.
We know that Δ is equal to the sum of the product of the elements of the second row
with their corresponding cofactors.
Hence,
Q5: If ∆ =
The document NCERT Solutions Class 12 Maths Chapter 4 - Determinants is a part of the JEE Course Mathematics (Maths) Class 12.
All you need of JEE at this link: JEE
|
204 videos|290 docs|139 tests
|
FAQs on NCERT Solutions Class 12 Maths Chapter 4 - Determinants
| 1. What is a determinant in mathematics? |  |
Ans. In mathematics, a determinant is a scalar value that can be calculated from the elements of a square matrix. It provides important information about the matrix, such as whether the matrix is invertible or singular.
| 2. How is the determinant of a 2x2 matrix calculated? | |
Ans. For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.
| 3. What does it mean if the determinant of a matrix is zero? | |
Ans. If the determinant of a matrix is zero, it means that the matrix is singular and does not have an inverse. This implies that the matrix's columns or rows are linearly dependent.
| 4. How is the determinant of a 3x3 matrix calculated? | |
Ans. For a 3x3 matrix [[a, b, c], [d, e, f], [g, h, i]], the determinant can be calculated using the Rule of Sarrus or by expanding along a row or column.
| 5. Why are determinants important in linear algebra? | |
Ans. Determinants play a crucial role in linear algebra as they help determine whether a system of linear equations has a unique solution, no solution, or infinitely many solutions. They also provide information about the properties of matrices and are used in various mathematical applications.
Related Exams
About this Document
|
2K Views |
|
4.67/5 Rating |
|
Dec 23, 2024 Last updated |
Document Description: NCERT Solutions Exercise 4.3: Determinants for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for NCERT Solutions Exercise 4.3: Determinants have been prepared according to the JEE exam syllabus. Information about NCERT Solutions Exercise 4.3: Determinants covers topics
like and NCERT Solutions Exercise 4.3: Determinants Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions Exercise 4.3: Determinants.
Introduction of NCERT Solutions Exercise 4.3: Determinants in English is available as part of our Mathematics (Maths) Class 12
for JEE & NCERT Solutions Exercise 4.3: Determinants in Hindi for Mathematics (Maths) Class 12 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) Class 12 | Best notes, free PDF download
Information about NCERT Solutions Exercise 4.3: Determinants
In this doc you can find the meaning of NCERT Solutions Exercise 4.3: Determinants defined & explained in the simplest way possible. Besides explaining types of
NCERT Solutions Exercise 4.3: Determinants theory, EduRev gives you an ample number of questions to practice NCERT Solutions Exercise 4.3: Determinants tests, examples and also practice JEE
tests
|
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
Viva Questions
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,Summary
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,study material
,Objective type Questions
,Semester Notes
,past year papers
,Important questions
,Sample Paper
,MCQs
,ppt
,NCERT Solutions Class 12 Maths Chapter 4 - Determinants
,practice quizzes
,video lectures
,Free
,Previous Year Questions with Solutions
,Exam
,Extra Questions
,shortcuts and tricks
,mock tests for examination
;
Additional Information about NCERT Solutions Exercise 4.3: Determinants for JEE Preparation
NCERT Solutions Exercise 4.3: Determinants Free PDF Download
The NCERT Solutions Exercise 4.3: 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 4.3: Determinants now and kickstart your journey towards success in the JEE exam.
Importance of NCERT Solutions Exercise 4.3: Determinants
The importance of NCERT Solutions Exercise 4.3: 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 4.3: Determinants Notes
NCERT Solutions Exercise 4.3: 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 4.3: 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 4.3: Determinants Notes on EduRev are your ultimate resource for success.
NCERT Solutions Exercise 4.3: Determinants JEE Questions
The "NCERT Solutions Exercise 4.3: 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 4.3: Determinants on the App
Students of JEE can study NCERT Solutions Exercise 4.3: Determinants alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the NCERT Solutions Exercise 4.3: 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 4.3: Determinants is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup