JEE Exam  >  JEE Videos  >  Mathematics (Maths) Class 12  >  Examples : Multiplication of a matrix by a scalar

Examples : Multiplication of a matrix by a scalar Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

Top Courses for JEE

FAQs on Examples : Multiplication of a matrix by a scalar Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is matrix multiplication by a scalar?
Ans. Matrix multiplication by a scalar refers to the operation of multiplying every element of a matrix by a constant number, known as the scalar. Each element in the matrix is multiplied by the same scalar value.
2. How does matrix multiplication by a scalar affect the matrix?
Ans. When a matrix is multiplied by a scalar, each element in the matrix is multiplied by the scalar value, resulting in a new matrix with the same dimensions as the original. The scalar multiplication affects the magnitude of each element without changing the overall structure of the matrix.
3. What is the purpose of matrix multiplication by a scalar?
Ans. Matrix multiplication by a scalar is used in various mathematical and computational applications. It allows for scaling and rescaling of a matrix, which can be useful in operations such as adjusting the intensity of an image, scaling vectors, or representing transformations in linear algebra.
4. Can a matrix be multiplied by any scalar value?
Ans. Yes, a matrix can be multiplied by any scalar value, regardless of its magnitude or sign. The scalar can be positive, negative, or zero. Multiplying a matrix by a positive scalar will increase the magnitude of each element, while multiplying by a negative scalar will change the signs of the elements.
5. Does matrix multiplication by a scalar change the identity matrix?
Ans. No, matrix multiplication by a scalar does not change the identity matrix. The identity matrix is a special matrix that, when multiplied with any other matrix, results in the same matrix. Multiplying the identity matrix by a scalar only scales the elements of the identity matrix, but its structure remains unchanged.
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.
10M+ students study on EduRev
Related Searches

Objective type Questions

,

shortcuts and tricks

,

past year papers

,

Examples : Multiplication of a matrix by a scalar Video Lecture | Mathematics (Maths) Class 12 - JEE

,

study material

,

Examples : Multiplication of a matrix by a scalar Video Lecture | Mathematics (Maths) Class 12 - JEE

,

Examples : Multiplication of a matrix by a scalar Video Lecture | Mathematics (Maths) Class 12 - JEE

,

practice quizzes

,

Semester Notes

,

MCQs

,

Viva Questions

,

pdf

,

Previous Year Questions with Solutions

,

video lectures

,

Extra Questions

,

Summary

,

Sample Paper

,

mock tests for examination

,

Important questions

,

Free

,

ppt

,

Exam

;