Find the bilinear transformation which maps the points z = 0, -1, i onto w = i, 0, 00. Also find the image of the unit circle | z| = 1.
Find the bilinear transformation which maps the points z = 0, -1, i onto w = i, 0, 00. Also find the image of the unit circle | z| = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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![Find the bilinear transformation which maps the points z =
= 0, -1, i onto
w = i, 0, 0. Also find the image of the unit circle z| = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa30f5f99-775b-4c4d-ab34-4c28409b5fce%2F9d1bae43-3f6f-4ac1-b855-cd9eabace355%2F77r0xrv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the bilinear transformation which maps the points z =
= 0, -1, i onto
w = i, 0, 0. Also find the image of the unit circle z| = 1.
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