5. Let z = a + bi and z2 = az + bzi. (a) Find Im[z,z+()?-z,z ]. (b) Prove that (7)² = z,?.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.
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5. Let z, = a+ bi and z2 = az + bzi.
(a) Find Im[z,Zz + (Z) - z,z ].
(b) Prove that ()² = z,2.
Transcribed Image Text:5. Let z, = a+ bi and z2 = az + bzi. (a) Find Im[z,Zz + (Z) - z,z ]. (b) Prove that ()² = z,2.
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