"inverse matrix" meaning in English

{
  "forms": [
    {
      "form": "inverse matrices",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "inverse matrixes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "inverse matrices",
        "2": "+"
      },
      "expansion": "inverse matrix (plural inverse matrices or inverse matrixes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space V#x2A;? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix M#x7B;-1#x7D; of M. Then the rows of M#x7B;-1#x7D; are the (co)vectors of that dual basis. Since (M#x7B;-1#x7D;)#x7B;-1#x7D;#x3D;M, then (V#x2A;)#x2A;#x3D;V.",
          "type": "example"
        }
      ],
      "glosses": [
        "Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix."
      ],
      "id": "en-inverse_matrix-en-noun-tU2kvpSQ",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "identity matrix",
          "identity matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix."
      ],
      "synonyms": [
        {
          "word": "inverse"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "linear algebra",
          "word": "pöördmaatriks"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "linear algebra",
          "word": "käänteismatriisi"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "matrice inverse"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "inverse Matrix"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "Inverse"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "Kehrmatrix"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "gyaku-gyōretsu",
          "sense": "linear algebra",
          "word": "逆行列"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "obrátnaja mátrica",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "обра́тная ма́трица"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "linear algebra",
          "tags": [
            "feminine"
          ],
          "word": "matriz inversa"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "linear algebra",
          "tags": [
            "common-gender"
          ],
          "word": "invers matris"
        }
      ]
    }
  ],
  "word": "inverse matrix"
}

{
  "forms": [
    {
      "form": "inverse matrices",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "inverse matrixes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "inverse matrices",
        "2": "+"
      },
      "expansion": "inverse matrix (plural inverse matrices or inverse matrixes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "en:Linear algebra"
      ],
      "examples": [
        {
          "text": "Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space V#x2A;? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix M#x7B;-1#x7D; of M. Then the rows of M#x7B;-1#x7D; are the (co)vectors of that dual basis. Since (M#x7B;-1#x7D;)#x7B;-1#x7D;#x3D;M, then (V#x2A;)#x2A;#x3D;V.",
          "type": "example"
        }
      ],
      "glosses": [
        "Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "identity matrix",
          "identity matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "inverse"
    }
  ],
  "translations": [
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "linear algebra",
      "word": "pöördmaatriks"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "linear algebra",
      "word": "käänteismatriisi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "matrice inverse"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "inverse Matrix"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "Inverse"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "Kehrmatrix"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "gyaku-gyōretsu",
      "sense": "linear algebra",
      "word": "逆行列"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "obrátnaja mátrica",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "обра́тная ма́трица"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "linear algebra",
      "tags": [
        "feminine"
      ],
      "word": "matriz inversa"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "linear algebra",
      "tags": [
        "common-gender"
      ],
      "word": "invers matris"
    }
  ],
  "word": "inverse matrix"
}