"identity matrix" meaning in English

See identity matrix in All languages combined, or Wiktionary

Noun

Forms: identity matrices [plural], identity matrixes [plural]
Head templates: {{en-noun|identity matrices|+}} identity matrix (plural identity matrices or identity matrixes)
  1. (linear algebra) A diagonal matrix all of the diagonal elements of which are equal to 1. Wikipedia link: identity matrix Categories (topical): Linear algebra Synonyms: unit matrix Translations (diagonal matrix with all diagonal elements equal to 1): matriu identitat [feminine] (Catalan), 單位矩陣 (Chinese Mandarin), 单位矩阵 (dānwèi jǔzhèn) (Chinese Mandarin), 單位方陣 (Chinese Mandarin), 单位方阵 (dānwèi fāngzhèn) (Chinese Mandarin), jednotková matice [feminine] (Czech), identitetsmatrix [common-gender] (Danish), enhedsmatrix [common-gender] (Danish), eenheidsmatrix [feminine] (Dutch), ühikmaatriks (Estonian), yksikkömatriisi (Finnish), identiteettimatriisi (Finnish), matrice identité [feminine] (French), matrice unité [feminine] (French), matriz identidade [feminine] (Galician), Einheitsmatrix [feminine] (German), Identitätsmatrix [feminine] (German), egységmátrix (Hungarian), identitásmátrix (Hungarian), einingarfylki [neuter] (Icelandic), matrice identità [feminine] (Italian), 単位行列 (tan'i gyōretsu) (Japanese), identitetsmatrise (Norwegian), macierz jednostkowa [feminine] (Polish), matriz identidade [feminine] (Portuguese), matrice unitate [feminine] (Romanian), matrice identitate [feminine] (Romanian), едини́чная ма́трица (jediníčnaja mátrica) [feminine] (Russian), јединична матрица (jedinična matrica) [Cyrillic, feminine] (Serbo-Croatian), jedinična matrica [Latin, feminine] (Serbo-Croatian), matriz identidad [feminine] (Spanish), enhetsmatris [common-gender] (Swedish), isahing baskagan (Tagalog), เมทริกซ์เอกลักษณ์ (Thai)

Inflected forms

Download JSON data for identity matrix meaning in English (6.4kB)

{
  "forms": [
    {
      "form": "identity matrices",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "identity matrixes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "identity matrices",
        "2": "+"
      },
      "expansion": "identity matrix (plural identity matrices or identity 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": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "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 diagonal matrix all of the diagonal elements of which are equal to 1."
      ],
      "id": "en-identity_matrix-en-noun--M~st0tN",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "diagonal matrix",
          "diagonal matrix"
        ],
        [
          "diagonal element",
          "diagonal element"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A diagonal matrix all of the diagonal elements of which are equal to 1."
      ],
      "synonyms": [
        {
          "word": "unit matrix"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matriu identitat"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "單位矩陣"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "dānwèi jǔzhèn",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "单位矩阵"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "單位方陣"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "dānwèi fāngzhèn",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "单位方阵"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "jednotková matice"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "common-gender"
          ],
          "word": "identitetsmatrix"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhedsmatrix"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "eenheidsmatrix"
        },
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "ühikmaatriks"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "yksikkömatriisi"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "identiteettimatriisi"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matrice identité"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matrice unité"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matriz identidade"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "Einheitsmatrix"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "Identitätsmatrix"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "egységmátrix"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "identitásmátrix"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "neuter"
          ],
          "word": "einingarfylki"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matrice identità"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "tan'i gyōretsu",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "単位行列"
        },
        {
          "code": "no",
          "lang": "Norwegian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "identitetsmatrise"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "macierz jednostkowa"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matriz identidade"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matrice unitate"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matrice identitate"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "jediníčnaja mátrica",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "едини́чная ма́трица"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "roman": "jedinična matrica",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "Cyrillic",
            "feminine"
          ],
          "word": "јединична матрица"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "Latin",
            "feminine"
          ],
          "word": "jedinična matrica"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "feminine"
          ],
          "word": "matriz identidad"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhetsmatris"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "isahing baskagan"
        },
        {
          "code": "th",
          "lang": "Thai",
          "sense": "diagonal matrix with all diagonal elements equal to 1",
          "word": "เมทริกซ์เอกลักษณ์"
        }
      ],
      "wikipedia": [
        "identity matrix"
      ]
    }
  ],
  "word": "identity matrix"
}
{
  "forms": [
    {
      "form": "identity matrices",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "identity matrixes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "identity matrices",
        "2": "+"
      },
      "expansion": "identity matrix (plural identity matrices or identity 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",
        "Mandarin terms with redundant transliterations",
        "en:Linear algebra"
      ],
      "glosses": [
        "A diagonal matrix all of the diagonal elements of which are equal to 1."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "diagonal matrix",
          "diagonal matrix"
        ],
        [
          "diagonal element",
          "diagonal element"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A diagonal matrix all of the diagonal elements of which are equal to 1."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "identity matrix"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "unit matrix"
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matriu identitat"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "單位矩陣"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "dānwèi jǔzhèn",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "单位矩阵"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "單位方陣"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "dānwèi fāngzhèn",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "单位方阵"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "jednotková matice"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "common-gender"
      ],
      "word": "identitetsmatrix"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhedsmatrix"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "eenheidsmatrix"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "ühikmaatriks"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "yksikkömatriisi"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "identiteettimatriisi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matrice identité"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matrice unité"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matriz identidade"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "Einheitsmatrix"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "Identitätsmatrix"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "egységmátrix"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "identitásmátrix"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "neuter"
      ],
      "word": "einingarfylki"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matrice identità"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "tan'i gyōretsu",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "単位行列"
    },
    {
      "code": "no",
      "lang": "Norwegian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "identitetsmatrise"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "macierz jednostkowa"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matriz identidade"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matrice unitate"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matrice identitate"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "jediníčnaja mátrica",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "едини́чная ма́трица"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "roman": "jedinična matrica",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "Cyrillic",
        "feminine"
      ],
      "word": "јединична матрица"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "Latin",
        "feminine"
      ],
      "word": "jedinična matrica"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "feminine"
      ],
      "word": "matriz identidad"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhetsmatris"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "isahing baskagan"
    },
    {
      "code": "th",
      "lang": "Thai",
      "sense": "diagonal matrix with all diagonal elements equal to 1",
      "word": "เมทริกซ์เอกลักษณ์"
    }
  ],
  "word": "identity matrix"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.