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arXiv · 0910.1376

Fully geometric definitions of orientation and determinants

Mauro Patrão
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Abstract

We present fully geometric definitions of orientation and determinants and show they coincide with the algebraic definitions. This allows us to provide an approach to determinants in the spirit of what is presented in the article A Geometric Approach to Determinants, previously published by the Monthly, but making it rigorous and complete.

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Mauro Patrão. 2009-10-07. Fully geometric definitions of orientation and determinants. https://arxiv.org/abs/0910.1376

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