One of the following is not a linear transformation (a) T : R² → R³ defined by T(x, y) = (x, xy, x) (b) T : R² → R³ defined by T(x, y) = (x, y, x – y) (c) T: R² → R³ defined by T(x,y) = (x, y, 0) - %3| (d) T : R² → R³ defined by T(x,y) = (0, y, x) (a) O (b) O (c) O (d) O

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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One of the following is not a linear transformation
(a) T : R² → R³ defined by T(x,y) = (x, xY, x)
(b) T : R2 → R³ defined by T(x, y) = (x, y, x – y)
(c) T : R² → R³ defined by T(x, y) = (x, y,0)
(d) T: R → R³ defined by T(x, y) = (0, y, x)
(a) O
(b) O
(c) O
(d) O
Transcribed Image Text:One of the following is not a linear transformation (a) T : R² → R³ defined by T(x,y) = (x, xY, x) (b) T : R2 → R³ defined by T(x, y) = (x, y, x – y) (c) T : R² → R³ defined by T(x, y) = (x, y,0) (d) T: R → R³ defined by T(x, y) = (0, y, x) (a) O (b) O (c) O (d) O
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