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arXiv · 2005.06275

A Gauche perspective on row reduced echelon form and its uniqueness

Eric L. Grinberg
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Abstract

Using a left-to-right "sweeping" algorithm, we define the \emph{Gauche basis} for the column space of a matrix $M$. By means of the Gauche basis we interpret the row reduced echelon form of $M$, and give a direct proof of its uniqueness. We conclude with pedagogical reflections.

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Eric L. Grinberg. 2020-05-12. A Gauche perspective on row reduced echelon form and its uniqueness. https://arxiv.org/abs/2005.06275

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