complex numbers 1. If z = x + iy is a complex number.(a) Verify that v2|z| > |Re(z)| + |Im(z)| [Hint: Reduce this inequality to(|z| – ly|)² > 0.]

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Answered: 1. If z = x + iy is a complex number.…

1. If z = x + iy is a complex number. (a) Verify that v2|z| > |Re(z)| + |Im(2)| [Hint: Reduce this inequality to (|z| – ly|)² > 0.]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 45E

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Question

complex numbers

1. If z = x + iy is a complex number.
(a) Verify that v2|z| > |Re(z)| + |Im(z)| [Hint: Reduce this inequality to
(|z| – ly|)² > 0.]

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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