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
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
Problem 41RE
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F904caeb1-cd31-4dcf-9af8-09f5b2d51865%2Faa197fd8-b158-45be-82b9-dba843598df4%2Fwp1jir_processed.jpeg&w=3840&q=75)
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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