How do you usse the Extended Euclidean Algorithm to express each gcd(a, b) as a linear combination? gcd(465, 2205) gcd(2021, 531) gcd(1234, 5678)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 7BEXP
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How do you usse the Extended Euclidean Algorithm to express each gcd(a, b) as a linear combination?

gcd(465, 2205)
gcd(2021, 531)
gcd(1234, 5678)

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