i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i)= 109 and N(B) = 113,ii) Given two Gaussian integers a and B with norms N(a)find gcd(a, B). You must fully justify your answer.iii) Which of the following Gaussian integers are Gaussian primes?а. 11i;b. -29i;c. 4+ 3id. 5+ 4iYou must fully justify your answers.

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Answered: Use the Euclidean algorithm to find…

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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Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) |