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3. Consider Z3li)= {a + bi l a, bɛ Z3}. These are the non-zero elements of the Gaussian integers modulo 3. When addition and multiplication take place, the coefficients are reduced modulo 3. 16 cr a) List the eight elements. b) What is the identity for addition? For multiplication? 4 cr

3. Consider Z3li)= {a + bi l a, bɛ Z3}. These are the non-zero elements of the Gaussian integers modulo 3. When addition and multiplication take place, the coefficients are reduced modulo 3. 16 cr a) List the eight elements. b) What is the identity for addition? For multiplication? 4 cr

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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3. Consider Za[i)= {a + bi l a, b ɛ Z3}. These are the non-zero elements of the Gaussian integers modulo 3. When addition and multiplication take place, the coefficients are reduced modulo 3. 16 cr a) List the eight elements. b) What is the identity for addition? For multiplication? 4 cr
Transcribed Image Text:3. Consider Za[i)= {a + bi l a, b ɛ Z3}. These are the non-zero elements of the Gaussian integers modulo 3. When addition and multiplication take place, the coefficients are reduced modulo 3. 16 cr a) List the eight elements. b) What is the identity for addition? For multiplication? 4 cr
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