JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Solving a system of Linear Equations Using Inverse of a Matrix Part 2
Solving a system of Linear Equations Using Inverse of a Matrix Part 2 Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Solving a system of Linear Equations Using Inverse of a Matrix Part 2 Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the inverse of a matrix? |  |
Ans. The inverse of a matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix. It is denoted as A^-1, where A is the original matrix.
| 2. How can the inverse of a matrix be used to solve a system of linear equations? | |
Ans. To solve a system of linear equations using the inverse of a matrix, we can represent the system in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix. By finding the inverse of matrix A, we can multiply both sides of the equation by A^-1 to obtain X = A^-1 * B, which gives us the solution for the variables.
| 3. Are all matrices invertible? | |
Ans. No, not all matrices are invertible. A matrix is invertible (or non-singular) if and only if its determinant is non-zero. If the determinant is zero, the matrix is singular and does not have an inverse.
| 4. Can the inverse of a matrix be computed for any size of the matrix? | |
Ans. The inverse of a matrix can be computed for square matrices only, i.e., matrices that have an equal number of rows and columns. For non-square matrices, the inverse does not exist.
| 5. What happens if a matrix does not have an inverse? | |
Ans. If a matrix does not have an inverse, it is called a singular matrix. In the context of solving a system of linear equations, this means that the system either has no solution or infinitely many solutions, depending on the specific properties of the matrix.
Related Exams
About this Video
4.90/5
Rating
Mar 07, 2025
Last updated
Video Description: Solving a system of Linear Equations Using Inverse of a Matrix Part 2 for JEE 2025 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Solving a system of Linear Equations Using Inverse of a Matrix Part 2 have been prepared according to the JEE exam syllabus.
Information about Solving a system of Linear Equations Using Inverse of a Matrix Part 2 covers all important topics for JEE 2025 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Solving a system of Linear Equations Using Inverse of a Matrix Part 2.
Introduction of Solving a system of Linear Equations Using Inverse of a Matrix Part 2 in English is available as part of our Mathematics (Maths) Class 12 for JEE & Solving a system of Linear Equations Using Inverse of a Matrix Part 2 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 Solving a system of Linear Equations Using Inverse of a Matrix Part 2 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 Solving a system of Linear Equations Using Inverse of a Matrix Part 2
Here you can find the meaning of Solving a system of Linear Equations Using Inverse of a Matrix Part 2 defined & explained in the simplest way possible.
Besides explaining types of Solving a system of Linear Equations Using Inverse of a Matrix Part 2 theory, EduRev gives you an ample number of questions to practice Solving a system of Linear Equations Using Inverse of a Matrix Part 2 tests,
examples and also practice JEE tests.
Related Searches
Previous Year Questions with Solutions
,Important questions
,Free
,Objective type Questions
,mock tests for examination
,Extra Questions
,Summary
,ppt
,past year papers
,video lectures
,Exam
,Sample Paper
,study material
,practice quizzes
,Semester Notes
,MCQs
,Solving a system of Linear Equations Using Inverse of a Matrix Part 2 Video Lecture | Mathematics (Maths) Class 12 - JEE
,shortcuts and tricks
,Solving a system of Linear Equations Using Inverse of a Matrix Part 2 Video Lecture | Mathematics (Maths) Class 12 - JEE
,Solving a system of Linear Equations Using Inverse of a Matrix Part 2 Video Lecture | Mathematics (Maths) Class 12 - JEE
,Viva Questions
;
Study Solving a system of Linear Equations Using Inverse of a Matrix Part 2 on the App
Students of JEE can study Solving a system of Linear Equations Using Inverse of a Matrix Part 2 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Solving a system of Linear Equations Using Inverse of a Matrix Part 2,
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 Solving a system of Linear Equations Using Inverse of a Matrix Part 2 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