JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Properties of Matrix Multiplication
Properties of Matrix Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|288 docs|139 tests
|
FAQs on Properties of Matrix Multiplication Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is matrix multiplication? |  |
Ans. Matrix multiplication is a binary operation that takes two matrices and produces a new matrix. It involves multiplying the corresponding elements of the matrices and summing them up to obtain the values in the resulting matrix.
| 2. What are the properties of matrix multiplication? | |
Ans. Matrix multiplication possesses several important properties, including:
- Associativity: (A * B) * C = A * (B * C), where A, B, and C are matrices of compatible dimensions.
- Distributivity: A * (B + C) = (A * B) + (A * C), where A, B, and C are matrices of compatible dimensions.
- Identity: A * I = I * A = A, where A is a matrix and I is the identity matrix of compatible dimensions.
- Non-commutativity: In general, A * B ≠ B * A, meaning that the order of multiplication matters.
- Zero matrix: A * 0 = 0, where A is a matrix and 0 is the zero matrix of compatible dimensions.
| 3. How do you determine if two matrices can be multiplied? | |
Ans. For two matrices to be multiplied, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If the dimensions do not satisfy this condition, the matrices cannot be multiplied.
| 4. What is the role of the dimensions of matrices in matrix multiplication? | |
Ans. The dimensions of matrices determine whether or not they can be multiplied and what the resulting dimensions of the product matrix will be. The number of columns in the first matrix must match the number of rows in the second matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.
| 5. Can matrix multiplication be applied to matrices of any size? | |
Ans. No, matrix multiplication is only defined for matrices where the number of columns in the first matrix matches the number of rows in the second matrix. The resulting matrix will have dimensions based on the number of rows in the first matrix and the number of columns in the second matrix.
Related Exams
About this Video
|
1.4K Views |
|
4.88/5 Rating |
|
Oct 24, 2024 Last updated |
Video Description: Properties of Matrix Multiplication for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Properties of Matrix Multiplication have been prepared according to the JEE exam syllabus.
Information about Properties of Matrix Multiplication covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Properties of Matrix Multiplication.
Introduction of Properties of Matrix Multiplication in English is available as part of our Mathematics (Maths) Class 12 for JEE & Properties of Matrix Multiplication 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 Properties of Matrix Multiplication 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 Properties of Matrix Multiplication
Here you can find the meaning of Properties of Matrix Multiplication defined & explained in the simplest way possible.
Besides explaining types of Properties of Matrix Multiplication theory, EduRev gives you an ample number of questions to practice Properties of Matrix Multiplication tests,
examples and also practice JEE tests.
|
204 videos|288 docs|139 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
Important questions
,past year papers
,Free
,study material
,shortcuts and tricks
,Properties of Matrix Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE
,practice quizzes
,Viva Questions
,Semester Notes
,Exam
,Summary
,Properties of Matrix Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE
,Sample Paper
,Properties of Matrix Multiplication Video Lecture | Mathematics (Maths) Class 12 - JEE
,ppt
,Extra Questions
,video lectures
,Previous Year Questions with Solutions
,Objective type Questions
,mock tests for examination
,MCQs
;
Study Properties of Matrix Multiplication on the App
Students of JEE can study Properties of Matrix Multiplication alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Properties of Matrix Multiplication,
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 Properties of Matrix Multiplication 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