Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
be defined by J Ja linear transformation? a. f(x + y) : <-4x-4y,-3x-3y, 7x-7y-4>| + <-4x,-3x,7y-4> Does f(x + y) = f(x)+ f(y) for all æ, y e R? Yes, they are equal f(x) + f(y) <-4x,-3x,7x-4> b. f(cz) = <-4cx, -3cx, -4+7cx> c(f(x)) = «-4х, -3х, 7х-4> Does f(ca) = c(f(x)) for all c, æ E R? Yes, they are equal c. Is fa linear transformation? f is a linear transformation

be defined by J Ja linear transformation? a. f(x + y) : <-4x-4y,-3x-3y, 7x-7y-4>| + <-4x,-3x,7y-4> Does f(x + y) = f(x)+ f(y) for all æ, y e R? Yes, they are equal f(x) + f(y) <-4x,-3x,7x-4> b. f(cz) = <-4cx, -3cx, -4+7cx> c(f(x)) = «-4х, -3х, 7х-4> Does f(ca) = c(f(x)) for all c, æ E R? Yes, they are equal c. Is fa linear transformation? f is a linear transformation

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
See similar textbooks
icon
Related questions
Question

Someone solve this question asap please

Let f:R → R° be defined by f(x) =(-4x,–3x, 7x – 4). Is fa linear transformation? a. f(x + y) = <-4x-4y,-3x-3y, 7x-7y-4>| f(x) + f(y) = <-4x,-3x,7x-4> + <-4x,-3x,7y-4> Does f(r+ y) = f(x)+f(y) for all z, Y E R? Yes, they are equal b. f (cz) 3D <-4сх, -Зсх, -4+7сх> c(f(x)) = c <-4х, -3х, 7х-4> Does f(cz) = c(f(x)) for all c, x E R? Yes, they are equal c. Is fa linear transformation? fis a linear transformation >
Transcribed Image Text:Let f:R → R° be defined by f(x) =(-4x,–3x, 7x – 4). Is fa linear transformation? a. f(x + y) = <-4x-4y,-3x-3y, 7x-7y-4>| f(x) + f(y) = <-4x,-3x,7x-4> + <-4x,-3x,7y-4> Does f(r+ y) = f(x)+f(y) for all z, Y E R? Yes, they are equal b. f (cz) 3D <-4сх, -Зсх, -4+7сх> c(f(x)) = c <-4х, -3х, 7х-4> Does f(cz) = c(f(x)) for all c, x E R? Yes, they are equal c. Is fa linear transformation? fis a linear transformation >
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS