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Question 2. Suppose C* is group of all complex numbers except zero under multiplication, and R* is group of all real number except zero numbers under multiplication. 1. Explain why R* is a subgroup of C*. 2. What is the inverse of 3 + 4i in C*. Check your answer.

Question 2. Suppose C* is group of all complex numbers except zero under multiplication, and R* is group of all real number except zero numbers under multiplication. 1. Explain why R* is a subgroup of C*. 2. What is the inverse of 3 + 4i in C*. Check your answer.

Advanced Engineering Mathematics
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 2. Suppose C* is group of all complex numbers except zero under multiplication, and R* is group of all real number except zero numbers under multiplication. 1. Explain why R* is a subgroup of C*. 2. What is the inverse of 3 + 4i in C*. Check your answer.
Transcribed Image Text:Question 2. Suppose C* is group of all complex numbers except zero under multiplication, and R* is group of all real number except zero numbers under multiplication. 1. Explain why R* is a subgroup of C*. 2. What is the inverse of 3 + 4i in C*. Check your answer.
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