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4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1} and recall a Complex Conjugate z of a complex number z = a+ib is the complex number z = a – ib, where a, b e R. = 0. - Let z1, z2 E C be defined by z1 = 2+i and z2 = (a) -1+ 3i. Plot z1, z2, and z1 + z2 on the complex plane. Find 712 (b) Consider the subset of C defined as P = {s E C| s = ib, where b e R and i = V-1}. Show (c) that 5 = -s for all s E P.

4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1} and recall a Complex Conjugate z of a complex number z = a+ib is the complex number z = a – ib, where a, b e R. = 0. - Let z1, z2 E C be defined by z1 = 2+i and z2 = (a) -1+ 3i. Plot z1, z2, and z1 + z2 on the complex plane. Find 712 (b) Consider the subset of C defined as P = {s E C| s = ib, where b e R and i = V-1}. Show (c) that 5 = -s for all s E P.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 36E
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4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1} and recall a Complex Conjugate z of a complex number z = a+ib is the complex number z = a – ib, where a, b e R. = 0. - Let z1, z2 E C be defined by z1 = 2+i and z2 = (a) -1+ 3i. Plot z1, z2, and z1 + z2 on the complex plane. Find 712 (b) Consider the subset of C defined as P = {s E C| s = ib, where b e R and i = V-1}. Show (c) that 5 = -s for all s E P.
Transcribed Image Text:4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1} and recall a Complex Conjugate z of a complex number z = a+ib is the complex number z = a – ib, where a, b e R. = 0. - Let z1, z2 E C be defined by z1 = 2+i and z2 = (a) -1+ 3i. Plot z1, z2, and z1 + z2 on the complex plane. Find 712 (b) Consider the subset of C defined as P = {s E C| s = ib, where b e R and i = V-1}. Show (c) that 5 = -s for all s E P.
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