a) Define a mapping T:R³ → R¹ by ¹0-A x+y T 3z i) Determine whether T'is a linear transformation. 0 2 ii) Find the preimage of v = -1 6
a) Define a mapping T:R³ → R¹ by ¹0-A x+y T 3z i) Determine whether T'is a linear transformation. 0 2 ii) Find the preimage of v = -1 6
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 4CM
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Question
![a) Define a mapping T:R³ → Rª by
(ED
[x - y₁
x+y
y-z
3z
i) Determine whether T is a linear transformation.
0
2
ii) Find the preimage of v =
[
6
T
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F369eb33d-5550-4191-a702-94922b8cf6c1%2F09990285-7f65-4140-9c71-5a40b90ff712%2Fpxj9nge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Define a mapping T:R³ → Rª by
(ED
[x - y₁
x+y
y-z
3z
i) Determine whether T is a linear transformation.
0
2
ii) Find the preimage of v =
[
6
T
=
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