On the explicit formula for Gauss-Jordan elimination

2020/10/02 by Nam Van Tran, Van Tran, Nam, Julia Justino +3
Mathematics · #15A09 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:15A09

paper · pdf · doi:10.48550/arxiv.2010.01085

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arxiv created 2020/10/02 · arxiv updated 2020/10/05

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 \citeLi, a direct proof by induction is given.

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