English

On the explicit formula for Gauss-Jordan elimination

Combinatorics 2020-10-05 v1

Abstract

The elements of the successive intermediate matrices of the Gauss-Jordan elimination procedure have the form of quotients of minors. Instead of the proof using identities of determinants of \cite{Li}, a direct proof by induction is given.

Keywords

Cite

@article{arxiv.2010.01085,
  title  = {On the explicit formula for Gauss-Jordan elimination},
  author = {Nam Van Tran and Julia Justino and Imme van den Berg},
  journal= {arXiv preprint arXiv:2010.01085},
  year   = {2020}
}

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R2 v1 2026-06-23T18:58:42.730Z