See orthogonal matrix on Wiktionary
{
"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": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"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",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with German translations",
"Terms with Japanese translations",
"Terms with Polish translations",
"Terms with Romanian translations",
"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"
}
Download raw JSONL data for orthogonal matrix meaning in All languages combined (1.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.