2. Show that the general linear transformation T(z) = az + b, where a and bare complex constants, is the composition of a rotation, followed by a dilation, followed by a translation. Hint

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Question
polic
-tion
Vi
DULC
.A?
2. Show that the general linear transformation T(z) = az + b. where a and bare
complex constants, is the composition of a rotation, followed by a dilation,
followed by a translation.
Hint
View the complex constant a in polar form.
to
3. Prove that a general linear transformation maps circles to circles.
Transcribed Image Text:polic -tion Vi DULC .A? 2. Show that the general linear transformation T(z) = az + b. where a and bare complex constants, is the composition of a rotation, followed by a dilation, followed by a translation. Hint View the complex constant a in polar form. to 3. Prove that a general linear transformation maps circles to circles.
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