Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) e R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose
Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) e R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose
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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
Related questions
Question
![Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation?
a. f(r1, Y1) + (x2, Y2)) =|
(Enter 21 as x1, etc.)
f((T1, 41)) + f((®2, Y2)) =
+
Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose
b. f(c(x, y)) =
c(f({x, y))) =|
Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R?? choose
choose
Yes, they are equal
No, they are not equal
c. Is fa linear transformation? choose
Are the following helpful?
v Proposition 5.18.
Definition 6.10.
Definition 6.17.
Proposition 6.33.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F614f6147-083a-4384-87cb-49effc6bd0f9%2F39ca771c-250a-4f92-8f73-23222f836f84%2Fwa5eszt_processed.png&w=3840&q=75)
Transcribed Image Text:Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation?
a. f(r1, Y1) + (x2, Y2)) =|
(Enter 21 as x1, etc.)
f((T1, 41)) + f((®2, Y2)) =
+
Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose
b. f(c(x, y)) =
c(f({x, y))) =|
Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R?? choose
choose
Yes, they are equal
No, they are not equal
c. Is fa linear transformation? choose
Are the following helpful?
v Proposition 5.18.
Definition 6.10.
Definition 6.17.
Proposition 6.33.
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