Help me with this problem, assuming I have no prior knowledge of complex numbers? [3] Consider the complex number z = 2 - 4i.a) What is the value of |z|² = z*. z ?b) Plot z in the complex plane (y-axis = Im, x-axis = Re).c) Write z in the form z = Ae: what is the value of A? What is the value of the angle 0?

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Answered: Consider the complex number z = 2 - 4i.…

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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Consider the complex number z = 2 - 4i. What is the value of |z|² = z* •z? Plot z in the complex plane (y-axis = Im, x-axis = Re). Write z in the form z = Aeie: what is the value of A? What is the value of the angle 0?