JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Introduction to Solution of System of Linear Equations using Inverse of a Matrix
Introduction to Solution of System of Linear Equations using Inverse of a Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
FAQs on Introduction to Solution of System of Linear Equations using Inverse of a Matrix Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the inverse of a matrix and how is it used to solve a system of linear equations? |  |
Ans. The inverse of a matrix is a matrix that, when multiplied by the original matrix, yields the identity matrix. In the context of solving a system of linear equations, the inverse of the coefficient matrix is computed, and it is multiplied by the column matrix of constants to obtain the solution vector.
| 2. How can I determine if a matrix has an inverse? | |
Ans. A square matrix has an inverse if its determinant is non-zero. If the determinant is zero, the matrix is said to be singular, and it does not have an inverse. Therefore, to determine if a matrix has an inverse, calculate its determinant and check if it is non-zero.
| 3. Can I use the inverse of a matrix to solve a system of linear equations with multiple solutions? | |
Ans. No, the inverse of a matrix cannot be used to solve a system of linear equations with multiple solutions. The inverse method only provides a unique solution for a system of linear equations. If a system has multiple solutions, it means that the coefficient matrix is singular, and its inverse does not exist.
| 4. Is it always necessary to use the inverse of a matrix to solve a system of linear equations? | |
Ans. No, it is not always necessary to use the inverse of a matrix to solve a system of linear equations. The inverse method is one of several techniques available. Other methods, such as Gaussian elimination or Cramer's rule, can also be used depending on the specific problem and the desired approach.
| 5. Are there any limitations or special cases when using the inverse of a matrix to solve systems of linear equations? | |
Ans. Yes, there are a few limitations and special cases when using the inverse of a matrix. First, the coefficient matrix must be square for its inverse to exist. Additionally, if the determinant of the matrix is zero, the inverse does not exist. Moreover, if the matrix is ill-conditioned, meaning it has very large or very small eigenvalues, the inverse method may yield inaccurate results.
About this Video
4.80/5
Rating
Oct 23, 2025
Last updated
Related Exams
Video Description: Introduction to Solution of System of Linear Equations using Inverse of a Matrix for JEE 2025 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Introduction to Solution of System of Linear Equations using Inverse of a Matrix have been prepared according to the JEE exam syllabus.
Information about Introduction to Solution of System of Linear Equations using Inverse of a Matrix covers all important topics for JEE 2025 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Solution of System of Linear Equations using Inverse of a Matrix.
Introduction of Introduction to Solution of System of Linear Equations using Inverse of a Matrix in English is available as part of our Mathematics (Maths) Class 12 for JEE & Introduction to Solution of System of Linear Equations using Inverse of a 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 Introduction to Solution of System of Linear Equations using Inverse of a 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 Introduction to Solution of System of Linear Equations using Inverse of a Matrix
Here you can find the meaning of Introduction to Solution of System of Linear Equations using Inverse of a Matrix defined & explained in the simplest way possible.
Besides explaining types of Introduction to Solution of System of Linear Equations using Inverse of a Matrix theory, EduRev gives you an ample number of questions to practice Introduction to Solution of System of Linear Equations using Inverse of a Matrix tests,
examples and also practice JEE tests.
Related Searches
video lectures
,MCQs
,Viva Questions
,Extra Questions
,shortcuts and tricks
,practice quizzes
,Introduction to Solution of System of Linear Equations using Inverse of a Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,Free
,Summary
,past year papers
,Sample Paper
,Exam
,Previous Year Questions with Solutions
,Important questions
,Introduction to Solution of System of Linear Equations using Inverse of a Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,Objective type Questions
,ppt
,Semester Notes
,Introduction to Solution of System of Linear Equations using Inverse of a Matrix Video Lecture | Mathematics (Maths) Class 12 - JEE
,mock tests for examination
,study material
;
Study Introduction to Solution of System of Linear Equations using Inverse of a Matrix on the App
Students of JEE can study Introduction to Solution of System of Linear Equations using Inverse of a Matrix alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Introduction to Solution of System of Linear Equations using Inverse of a 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 Introduction to Solution of System of Linear Equations using Inverse of a 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