Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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