{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0V94H674MB"
    }
  ],
  "body": "\n## Summary\n\nThe determinant of a family of $n$ vectors in a basis of an $n$-dimensional space is a scalar.\nIt is the determinant of the matrix of their coordinates in that basis.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "15A15",
      "15A75"
    ],
    "name": "Determinant of a family of vectors in a basis",
    "sources": [
      {
        "locator": "Determinant of n vectors",
        "url": "https://en.wikipedia.org/wiki/Determinant"
      }
    ],
    "tag": "05CJSSXPR3"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/05CJSSXPR3/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/05CJSSXPR3.md",
  "msc": [
    "15A15",
    "15A75"
  ],
  "name": "Determinant of a family of vectors in a basis",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/05C/05CJSSXPR3.md",
  "status": null,
  "tag": "05CJSSXPR3",
  "uri": "m2://05CJSSXPR3",
  "url": "https://math2.tamnd.com/wiki/determinant-of-a-family-of-vectors-in-a-basis/",
  "writing": {
    "tag": "05CJSSXPR3",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
