(a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| = 2. Which number(s) are common to both solutions?
(a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| = 2. Which number(s) are common to both solutions?
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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Question
Problem 1.2 (Complex Conjugation) Consider a
Re(w) = x and imaginary part Im(w) = y, with its complex conjugate defined as w∗ = x − jy.
(a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| = 2. Which number(s) are common to both solutions?
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