8. Is there a linear transformation T' : Rº → Rª such that T(1,0, 3) = (1, 1) and T(-2, 0, -6) = (2, 1) ? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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8. Is there a linear
transformation T: R³ → R² such that
T(1, 0, 3) = (1, 1) and T(−2, 0, −6) = (2, 1) ? Explain.
Transcribed Image Text:8. Is there a linear transformation T: R³ → R² such that T(1, 0, 3) = (1, 1) and T(−2, 0, −6) = (2, 1) ? Explain.
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