"orthogonal matrix" meaning in English

{
  "forms": [
    {
      "form": "orthogonal matrices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "orthogonal matrices"
      },
      "expansion": "orthogonal matrix (plural orthogonal matrices)",
      "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"
        }
      ],
      "glosses": [
        "A square matrix whose columns, considered as vectors, are orthonormal to each other. This implies that the transpose of such a matrix is also its inverse."
      ],
      "id": "en-orthogonal_matrix-en-noun-MKoO8YO4",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "orthonormal",
          "orthonormal"
        ],
        [
          "transpose",
          "transpose"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A square matrix whose columns, considered as vectors, are orthonormal to each other. This implies that the transpose of such a matrix is also its inverse."
      ],
      "related": [
        {
          "word": "orthogonal group"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "orthogonale Matrix"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "chokkōgyōretsu",
          "sense": "Translations",
          "word": "直交行列"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "macierz ortagonalna"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "matrice ortogonală"
        }
      ],
      "wikipedia": [
        "orthogonal matrix"
      ]
    }
  ],
  "word": "orthogonal matrix"
}

{
  "forms": [
    {
      "form": "orthogonal matrices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "orthogonal matrices"
      },
      "expansion": "orthogonal matrix (plural orthogonal matrices)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "orthogonal group"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Translation table header lacks gloss",
        "en:Linear algebra"
      ],
      "glosses": [
        "A square matrix whose columns, considered as vectors, are orthonormal to each other. This implies that the transpose of such a matrix is also its inverse."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "orthonormal",
          "orthonormal"
        ],
        [
          "transpose",
          "transpose"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A square matrix whose columns, considered as vectors, are orthonormal to each other. This implies that the transpose of such a matrix is also its inverse."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "orthogonal matrix"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "orthogonale Matrix"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "chokkōgyōretsu",
      "sense": "Translations",
      "word": "直交行列"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "macierz ortagonalna"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "matrice ortogonală"
    }
  ],
  "word": "orthogonal matrix"
}