Problem 1. Let w = 7+4i and z = 11+ 2i be Gaussian integers. 1. Find the gcd d e Z[i] of w and z such that d = a + bi with a > 0 and b > 0. 2. Use the Extended Euclidean Algorithm to find a pair of Gaussian integers s, t e Z[i] that satisfy ws + zt = d.
Problem 1. Let w = 7+4i and z = 11+ 2i be Gaussian integers. 1. Find the gcd d e Z[i] of w and z such that d = a + bi with a > 0 and b > 0. 2. Use the Extended Euclidean Algorithm to find a pair of Gaussian integers s, t e Z[i] that satisfy ws + zt = d.
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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