Which of the following mappings does not define a linear transformation A: R^3 -> R^2?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which of the following mappings does not define a linear transformation A: R^3 -> R^2?

 
 
 
 
 
 
(a) A: (x, y, z)
(b) A: (x, y, z)
(0,0).
→
(xy, yz).
(c) A: (x, y, z)
(2z-x+y, x + y + z).
(2,x).
(d) A: (x, y, z)
→
(e) A: (x, y, z)
T
(0, 2).
Transcribed Image Text:(a) A: (x, y, z) (b) A: (x, y, z) (0,0). → (xy, yz). (c) A: (x, y, z) (2z-x+y, x + y + z). (2,x). (d) A: (x, y, z) → (e) A: (x, y, z) T (0, 2).
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