Q6. Consider the function f: R³ R² defined by f((x, y, z))= (-2r, y + 32). (a) Show directly that f is linear. (b) Give the matrix associated to f. (c) Describe the set (7ER¹ | (7)-7}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 23E
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Q6. Consider the function : R³ R² defined by f((x, y, z))= (-2x, y + 32).
(a) Show directly that is linear.
(b) Give the matrix associated to f.
(c) Describe the set {ER | (7)-7).
Transcribed Image Text:Q6. Consider the function : R³ R² defined by f((x, y, z))= (-2x, y + 32). (a) Show directly that is linear. (b) Give the matrix associated to f. (c) Describe the set {ER | (7)-7).
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