(E) x + y T z + 3 Check that T is not linear by finding two vectors u, v which violate the additive property of linear transformations.

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 1CM
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Consider the transformation T : R3 →R2 defined by

(E)
x + y
T
z + 3
Check that T is not linear by finding two vectors u, v which violate the additive property of
linear transformations.
Transcribed Image Text:(E) x + y T z + 3 Check that T is not linear by finding two vectors u, v which violate the additive property of linear transformations.
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