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Given that S is the triangle with vertices (-5,5), (-5, -5), and (5,-5), determine whether the transformation T: SR is one-to-one. T(u, v) = (2u - v, u) = (x, y)

Given that S is the triangle with vertices (-5,5), (-5, -5), and (5,-5), determine whether the transformation T: SR is one-to-one. T(u, v) = (2u - v, u) = (x, y)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given that S is the triangle with vertices (−5,5),(−5,−5), and (5,−5), determine whether the transformation T:S→R is one-to-one.

T(u,v)=(2u−v,u)=(x,y)
 
Given that S is the triangle with vertices (-5,5), (-5,-5), and (5,-5), determine whether the transformation T: S→ R is one-to-one. T(u, v) = (2u – v, u) = (x, y) Select the correct answer below: The transformation is one-to-one. The transformation is not one-to-one.
Transcribed Image Text:Given that S is the triangle with vertices (-5,5), (-5,-5), and (5,-5), determine whether the transformation T: S→ R is one-to-one. T(u, v) = (2u – v, u) = (x, y) Select the correct answer below: The transformation is one-to-one. The transformation is not one-to-one.
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