{
  "aliases": [
    "rref"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0NNR68BFRY"
    }
  ],
  "body": "\n## Summary\n\nA matrix is in reduced row echelon form when it is in row echelon form and each leading entry is $1$.\nAlso, each leading entry is the only nonzero entry in its column.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "rref"
    ],
    "kind": "concept",
    "msc": [
      "15A06"
    ],
    "name": "Reduced row echelon form",
    "sources": [
      {
        "locator": "Reduced row echelon form",
        "url": "https://en.wikipedia.org/wiki/Row_echelon_form"
      }
    ],
    "tag": "0WF5AQYTW6"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0WF5AQYTW6/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0WF5AQYTW6.md",
  "msc": [
    "15A06"
  ],
  "name": "Reduced row echelon form",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0WF/0WF5AQYTW6.md",
  "status": null,
  "tag": "0WF5AQYTW6",
  "uri": "m2://0WF5AQYTW6",
  "url": "https://math2.tamnd.com/wiki/reduced-row-echelon-form/",
  "writing": {
    "tag": "0WF5AQYTW6",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
