Which of the following maps from R³ to R³ are not linear? f(x, y, z)=(x, y, z + 1). f(x, y, z) = (x², y, z). f(x, y, z) = (z, x, y). f(x, y, z) = (0,0, x+y+z).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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Which of the following maps from R³ to R³ are not linear?
O
f(x, y, z)=(x, y, z + 1).
f(x, y, z) = (x², y, z).
f(x, y, z) = (z, x, y).
f(x, y, z) = (0,0,x+y+z).
Transcribed Image Text:Which of the following maps from R³ to R³ are not linear? O f(x, y, z)=(x, y, z + 1). f(x, y, z) = (x², y, z). f(x, y, z) = (z, x, y). f(x, y, z) = (0,0,x+y+z).
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