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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 48, Issue 2, Pages 155 - 166 (November 2020)
http://dx.doi.org/10.17654/NT048020155

ON THE EXPLICIT FORMULA FOR GAUSS-JORDAN ELIMINATION

Nam Van Tran, Júlia Justino and Imme van den Berg

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 [5], a direct proof by induction is given.

Keywords and phrases:

Gauss-Jordan elimination, minors.

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