=az+b is called a general linear tranformation. Show that such the map T is indeed a Given complex constants a, b with a 0 the map T(2) transformation of C. Suppose that T: CC is a general linear transformation. Prove that T maps lines to lines.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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Given complex constants a, b with a 0 the map 7(z) = az + b is called
a general linear tranformation. Show that such the map T is indeed a
transformation of C.
Suppose that T: CC is a general linear transformation. Prove that T
maps lines to lines.
Transcribed Image Text:Given complex constants a, b with a 0 the map 7(z) = az + b is called a general linear tranformation. Show that such the map T is indeed a transformation of C. Suppose that T: CC is a general linear transformation. Prove that T maps lines to lines.
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