Given Euclid's algorithm, What is the difference between EL(a, b) and EL(b, a)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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Given Euclid's algorithm,

What is the difference between EL(a, b) and EL(b, a)?

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