{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0CCQV3884B"
    }
  ],
  "body": "\n## Summary\n\nThe product of an $m \\times n$ matrix and a column vector with $n$ entries is a column vector with $m$ entries.\nIts entry $i$ is the dot product of row $i$ of the matrix with the vector.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "15A99"
    ],
    "name": "Matrix–vector product",
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Matrix_multiplication"
      }
    ],
    "tag": "0PDVQEP0ZC"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0PDVQEP0ZC/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0PDVQEP0ZC.md",
  "msc": [
    "15A99"
  ],
  "name": "Matrix–vector product",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0PD/0PDVQEP0ZC.md",
  "status": null,
  "tag": "0PDVQEP0ZC",
  "uri": "m2://0PDVQEP0ZC",
  "url": "https://math2.tamnd.com/wiki/matrix-vector-product/",
  "writing": {
    "tag": "0PDVQEP0ZC",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
