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arXiv · 2507.19007

A Formalization of Elementary Linear Algebra: Part II

David Russinoff
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Abstract

This is the second installment of an exposition of an ACL2 formalization of elementary linear algebra. It extends the results of Part I, which covers the algebra of matrices over a commutative ring, but focuses on aspects of the theory that apply only to matrices over a field: elementary row reduction and its application to the computation of matrix inverses and the solution of simultaneous systems of linear equations.

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David Russinoff. 2025-07-25. A Formalization of Elementary Linear Algebra: Part II. https://doi.org/10.4204/eptcs.423.2

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