Determine whether the following are linear trans- formations from R³ into R²: (а) L(x) 3 (х2, хз)" (c) L(x) = (1+ x1, x2)" (d) L(x) = (x3, x +x2)" (b) L(x) = (0, 0)"

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 16CM
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Determine whether the following are linear trans-
formations from R³ into R²:
(a) L(x) = (x2, x3)"
(c) L(x) = (1+ x1, x2)"
(d) L(x)= (x3, x + x2)"
(b) L(x) = (0, 0)"
Transcribed Image Text:Determine whether the following are linear trans- formations from R³ into R²: (a) L(x) = (x2, x3)" (c) L(x) = (1+ x1, x2)" (d) L(x)= (x3, x + x2)" (b) L(x) = (0, 0)"
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