determinant
sum of signed terms of n factors from n×n matrix with no two factors sharing row or column
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determinant
Summary
determinant ranks in the top 0.92% of general entities by monthly Wikipedia readership (33,382 views/month, #715 of 77,819).[1]
Key Facts
- determinant is a type of similarity invariance[2].
- determinant is a type of alternating multilinear map[3].
- determinant's Commons category is recorded as Determinant[4].
- determinant's topic's main category is recorded as Category:Determinants[5].
- determinant's notation is recorded as vertical bar brackets[6].
- determinant's described by source is recorded as New Encyclopedic Dictionary[7].
- determinant's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
- determinant's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[9].
- determinant's described by source is recorded as Small Brockhaus and Efron Encyclopedic Dictionary[10].
- determinant's described by source is recorded as Encyclopædia Britannica 11th edition[11].
- determinant's described by source is recorded as mathisfun.com[12].
- determinant's described by source is recorded as mathisfun.com dictionary[13].
- determinant's described by source is recorded as Q140169500[14].
- determinant's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/determinant[15].
- determinant's Stack Exchange tag is recorded as https://mathoverflow.net/tags/determinants[16].
- determinant's Stack Exchange tag is recorded as https://cstheory.stackexchange.com/tags/determinant[17].
- determinant's Stack Exchange tag is recorded as https://stackoverflow.com/tags/determinants[18].
- determinant's definition domain is recorded as set of complex n×n matrices[19].
- determinant's codomain is recorded as set of complex numbers[20].
- determinant's partial function domain is recorded as set of complex n×n matrices[21].
- determinant's studied by is recorded as linear algebra[22].
- determinant's studied by is recorded as Q114720351[23].
- determinant's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[24].
- determinant's maintained by WikiProject is recorded as WikiProject Mathematics[25].
- determinant's invariant under is recorded as matrix transposition[26].
Body
Definition and Type
Recorded subclass of include similarity invariance[2] and alternating multilinear map[3].
Why It Matters
determinant ranks in the top 0.92% of general entities by monthly Wikipedia readership (33,382 views/month, #715 of 77,819).[1] determinant has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[27] determinant is known by 51 alternative names across languages and contexts.[28]