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
Related questions
Question
![9. Show that the function T: R' → R' defined by
T(x, y, z) = (x – z, 2x + y, 2y – 3x)
%3D
is a linear transformation.
10. Define the function T : R3 → R³
1
0.
T(v) = Av =|-3
2
V2
%3D
%3D
1
0 -1
v3
Find the image of T(-4,5, 1) and the preimage of (-1,2, 2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dedc6bb-8041-41c9-892c-3cd5451e1bc0%2Fad91b894-7067-493e-ad5d-fe32ae8d9cab%2Fl53bwzk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Show that the function T: R' → R' defined by
T(x, y, z) = (x – z, 2x + y, 2y – 3x)
%3D
is a linear transformation.
10. Define the function T : R3 → R³
1
0.
T(v) = Av =|-3
2
V2
%3D
%3D
1
0 -1
v3
Find the image of T(-4,5, 1) and the preimage of (-1,2, 2).
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