JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Finding Inverse of a Matrix using Adjoint of 3x3 Matrix
Finding Inverse of a Matrix using Adjoint of 3x3 Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Finding Inverse of a Matrix using Adjoint of 3x3 Matrix Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. How do you find the inverse of a 3x3 matrix using the adjoint method? |  |
Ans. To find the inverse of a 3x3 matrix using the adjoint method, follow these steps:
1. Calculate the determinant of the given matrix.
2. Find the cofactor matrix by calculating the determinant of each 2x2 submatrix.
3. Transpose the cofactor matrix to obtain the adjoint matrix.
4. Multiply the adjoint matrix by the reciprocal of the determinant to get the inverse matrix.
| 2. What is the significance of the adjoint matrix in finding the inverse of a matrix? | |
Ans. The adjoint matrix plays a crucial role in finding the inverse of a matrix. It is obtained by taking the transpose of the cofactor matrix. The adjoint matrix helps in calculating the inverse by applying the formula: inverse matrix = (1/determinant) * adjoint matrix. Thus, the adjoint matrix provides the necessary information to obtain the inverse matrix.
| 3. Is it always possible to find the inverse of a 3x3 matrix using the adjoint method? | |
Ans. No, it is not always possible to find the inverse of a 3x3 matrix using the adjoint method. The inverse exists only if the determinant of the matrix is non-zero. If the determinant is zero, the matrix is said to be singular, and its inverse does not exist. Therefore, the adjoint method can only be applied to non-singular matrices.
| 4. Can the adjoint method be used to find the inverse of matrices of other dimensions? | |
Ans. Yes, the adjoint method can be used to find the inverse of matrices of any dimension, not just 3x3 matrices. The steps involved in finding the inverse using the adjoint method remain the same, regardless of the matrix's dimensions. The only requirement is that the determinant of the matrix should be non-zero for the inverse to exist.
| 5. Are there alternative methods to find the inverse of a matrix apart from the adjoint method? | |
Ans. Yes, apart from the adjoint method, there are alternative methods to find the inverse of a matrix. One such method is the row reduction method, also known as Gaussian elimination. This method involves transforming the given matrix into reduced row echelon form through a series of row operations. Another method is the elementary transformation method, which utilizes elementary matrices to find the inverse. These alternative methods provide different approaches to finding the inverse and can be chosen based on the specific requirements or preferences.
Related Exams
About this Video
|
4.66/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Finding Inverse of a Matrix using Adjoint of 3x3 Matrix for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Finding Inverse of a Matrix using Adjoint of 3x3 Matrix have been prepared according to the JEE exam syllabus.
Information about Finding Inverse of a Matrix using Adjoint of 3x3 Matrix covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Finding Inverse of a Matrix using Adjoint of 3x3 Matrix.
Introduction of Finding Inverse of a Matrix using Adjoint of 3x3 Matrix in English is available as part of our Mathematics (Maths) Class 12 for JEE & Finding Inverse of a Matrix using Adjoint of 3x3 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 Finding Inverse of a Matrix using Adjoint of 3x3 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 Finding Inverse of a Matrix using Adjoint of 3x3 Matrix
Here you can find the meaning of Finding Inverse of a Matrix using Adjoint of 3x3 Matrix defined & explained in the simplest way possible.
Besides explaining types of Finding Inverse of a Matrix using Adjoint of 3x3 Matrix theory, EduRev gives you an ample number of questions to practice Finding Inverse of a Matrix using Adjoint of 3x3 Matrix tests,
examples and also practice JEE tests.
|
204 videos|290 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
Finding Inverse of a Matrix using Adjoint of 3x3 Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,practice quizzes
,Sample Paper
,Finding Inverse of a Matrix using Adjoint of 3x3 Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,Summary
,Important questions
,Semester Notes
,shortcuts and tricks
,video lectures
,Extra Questions
,Viva Questions
,past year papers
,MCQs
,Free
,mock tests for examination
,Previous Year Questions with Solutions
,Objective type Questions
,study material
,ppt
,Exam
,Finding Inverse of a Matrix using Adjoint of 3x3 Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
;
Study Finding Inverse of a Matrix using Adjoint of 3x3 Matrix on the App
Students of JEE can study Finding Inverse of a Matrix using Adjoint of 3x3 Matrix alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Finding Inverse of a Matrix using Adjoint of 3x3 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 Finding Inverse of a Matrix using Adjoint of 3x3 Matrix 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