A Formalization of Elementary Linear Algebra: Part II

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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Publication Details

Journal
Electronic Proceedings in Theoretical Computer Science
Published
2025-07-24
DOI
https://doi.org/10.4204/eptcs.423.2
Citations
1
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
4.09
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article

A Formalization of Elementary Linear Algebra: Part II

David M. Russinoff
1 citations
Electronic Proceedings in Theoretical Computer Science
Mathematics and Applications
4.09
article

A Formalization of Elementary Linear Algebra: Part II

David M. Russinoff
article en
1 citations

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.

Electronic Proceedings in Theoretical Computer ScienceVol. 423
Openalex Percentile: Top 8%
Mathematics and Applications
4.09
DOIOpen Access PDFOpenAlex
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A Formalization of Elementary Linear Algebra: Part II — David M. Russinoff · Electronic Proceedings in Theoretical Computer Science (2025) | TGRS Research Map | TGRS