JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Identity Matrix
Identity Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|288 docs|139 tests
|
FAQs on Identity Matrix Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is an identity matrix? |  |
Ans. An identity matrix is a square matrix in which all the elements in the main diagonal are ones, while all the other elements are zeros. It is denoted by the symbol "I" or "I_n", where "n" represents the size of the matrix.
| 2. What are the properties of an identity matrix? | |
Ans. The properties of an identity matrix include:
- The product of any matrix and its corresponding identity matrix is equal to the original matrix.
- The product of an identity matrix and any matrix is equal to the original matrix.
- The identity matrix is commutative under matrix multiplication.
| 3. How can we determine whether a matrix is an identity matrix or not? | |
Ans. To determine whether a matrix is an identity matrix, we need to check the following conditions:
- The matrix must be square, i.e., it should have an equal number of rows and columns.
- All the elements in the main diagonal should be ones.
- All the elements outside the main diagonal should be zeros.
| 4. What is the significance of an identity matrix in matrix operations? | |
Ans. The identity matrix serves as the equivalent of the number "1" in matrix operations. When a matrix is multiplied by the identity matrix, it remains unchanged. It acts as a neutral element, similar to how multiplying a number by 1 does not change its value. The identity matrix plays a crucial role in solving systems of linear equations, matrix inverses, and other matrix operations.
| 5. Can an identity matrix have a size other than a square matrix? | |
Ans. No, an identity matrix is always a square matrix. This means that it has an equal number of rows and columns. Each square matrix has a unique identity matrix associated with it, and its size is determined by the number of rows (or columns) it has.
Related Exams
About this Video
|
4.98/5 Rating |
|
Oct 31, 2024 Last updated |
Video Description: Identity Matrix for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Identity Matrix have been prepared according to the JEE exam syllabus.
Information about Identity Matrix covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Identity Matrix.
Introduction of Identity Matrix in English is available as part of our Mathematics (Maths) Class 12 for JEE & Identity Matrix 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.
Description
Video Lecture & Questions for Identity Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.
Information about Identity Matrix
Here you can find the meaning of Identity Matrix defined & explained in the simplest way possible.
Besides explaining types of Identity Matrix theory, EduRev gives you an ample number of questions to practice Identity Matrix tests,
examples and also practice JEE tests.
|
204 videos|288 docs|139 tests
|
Video Timeline
|
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
mock tests for examination
,video lectures
,Summary
,shortcuts and tricks
,Identity Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,MCQs
,Free
,Semester Notes
,practice quizzes
,study material
,Previous Year Questions with Solutions
,Identity Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,Extra Questions
,past year papers
,Viva Questions
,ppt
,Identity Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,Important questions
,Exam
,Objective type Questions
,Sample Paper
;
Study Identity Matrix on the App
Students of JEE can study Identity Matrix alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Identity Matrix,
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 Identity Matrix 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