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properly labeled Argand diagram w, w, -w, -w, iw, i²w, i³w, i'w and z-2. b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.

properly labeled Argand diagram w, w, -w, -w, iw, i²w, i³w, i'w and z-2. b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.

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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a) Let w = 2+i and z = 351³ +3w³+w²+w-7. Draw, on a single properly labeled Argand diagram -w, -w, iw, i²w, i³w, itw and iw and z-2. w, W, b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.
Transcribed Image Text:a) Let w = 2+i and z = 351³ +3w³+w²+w-7. Draw, on a single properly labeled Argand diagram -w, -w, iw, i²w, i³w, itw and iw and z-2. w, W, b) Describe in words the geometric effect on a complex number (i) on taking the complex conjugate, (ii) on taking the additive inverse, and (iii) on multiplying by i.
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