(a) Construct a linear map L(z)=az+b such that L(1)=i and L(i)=1 (b) Is the map you constructed in part (a) unique? Please Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 19E
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(a) Construct a linear map L(z)=az+b such that L(1)=i and L(i)=1 (b) Is the map you constructed in part (a) unique? Please Explain.
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