{
  "id": "2010.01085",
  "version": "v1",
  "published": "2020-10-02T16:25:27.000Z",
  "updated": "2020-10-02T16:25:27.000Z",
  "title": "On the explicit formula for Gauss-Jordan elimination",
  "authors": [
    "Nam Van Tran",
    "Julia Justino",
    "Imme van den Berg"
  ],
  "comment": "8",
  "categories": [
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-02T16:25:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A09"
    ],
    "keywords": [
      "explicit formula",
      "gauss-jordan elimination procedure",
      "successive intermediate matrices",
      "direct proof",
      "identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}