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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 8EQ: In Exercises 1-12, determine whether T is a linear transformation. 8. defined by
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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
=
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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