Which of the following maps T, L, I, f: R³ → R³ is not linear? a) 1(x, y, z) = (x, y, z). b) f(x, y, z) = (0,0,0). c) T(x, y, z)= (1,0,0). d) L(x, y, z) = (2x, 0,3z).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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Which of the following maps T, L, I, f: R³ R³ is not linear?
a) 1(x, y, z)=(x, y, z).
b) f(x, y, z) = (0,0,0).
c) T(x, y, z)= (1,0,0).
d) L(x, y, z) = (2x, 0,3z).
Transcribed Image Text:Which of the following maps T, L, I, f: R³ R³ is not linear? a) 1(x, y, z)=(x, y, z). b) f(x, y, z) = (0,0,0). c) T(x, y, z)= (1,0,0). d) L(x, y, z) = (2x, 0,3z).
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