Which of the following is NOT a linear transformation? T:R? → R³, T x +y [x+2y. Or:R² -R°, T = 2x -2y %3D T:R? →R°, T x +y [x+2y. T:R³ →R², T | y| = |y+z T:R →R³, T = |z xy

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Which of the following is NOT a linear transformation?
T:R? → R°, T
x + y
[x+2y_
OT:R?
2x
+R?, T
-2y
T:R? → R³, T
x + 2y]
T:R³ → R?, T| y
x+ z
y+z
T:R? → R°, T
+y
xy
Transcribed Image Text:Which of the following is NOT a linear transformation? T:R? → R°, T x + y [x+2y_ OT:R? 2x +R?, T -2y T:R? → R³, T x + 2y] T:R³ → R?, T| y x+ z y+z T:R? → R°, T +y xy
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