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1. Is T(z) =-z a translation, dilation, rotation, or none of the above?

1. Is T(z) =-z a translation, dilation, rotation, or none of the above?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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polic 1. Is T(z) = -z a translation, dilation, rotation, or none of the above? 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. L 3. Prove that a general linear transformation maps circles to circles.
Transcribed Image Text:polic 1. Is T(z) = -z a translation, dilation, rotation, or none of the above? 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. L 3. Prove that a general linear transformation maps circles to circles.
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