Definify.com
Webster 1913 Edition
Determinant
De-ter′mi-nant
,Adj.
[L.
determinans
, p. pr. of determinare
: cf. F. déterminant
.] Serving to determine or limit; determinative.
De-ter′mi-nant
,Noun.
1.
That which serves to determine; that which causes determination.
2.
(Math.)
The sum of a series of products of several numbers, these products being formed according to certain specified laws
; thus, the
is
determinant
of the nine numbersa, b, c,
a´, b´, c´,
a´´, b´´, c´´,
is
a b´ c´´ - a b´´ c´ + a´ b´´ c] - a´ b c´´ + a´´ b´ c
. The determinant is written by placing the numbers from which it is formed in a square between two vertical lines. The theory of determinants
forms a very important branch of modern mathematics. 3.
(Logic)
A mark or attribute, attached to the subject or predicate, narrowing the extent of both, but rendering them more definite and precise.
Abp. Thomson.
Definition 2024
determinant
determinant
See also: déterminant
English
Noun
determinant (plural determinants)
- A determining factor; an element that determines the nature of something
- (linear algebra) The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of 1 for the unit matrix. Abbreviation: det
- (biology) A substance that causes a cell to adopt a particular fate.
Translations
determining factor
|
|
in mathematical sense
|
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See also
Adjective
determinant (comparative more determinant, superlative most determinant)
- Serving to determine or limit; determinative.
Anagrams
Norwegian
Noun
determinant m
- determinant (determining factor)
- (linear algebra) determinant (mathematical term)
- Determinanten til identitetsmatrisa er 1.
- The determinant of the identity matrix equals 1.
- Determinanten til identitetsmatrisa er 1.
Inflection
Inflection of determinant
| indefinite singular | definite singular | indefinite plural | definite plural | |
|---|---|---|---|---|
| Bokmål m | determinant | determinanten | determinanter | determinantene |
| Nynorsk m | determinant | determinanten | determinantar | determinantane |
Slovak
Noun
determinant m (genitive singular determinantu, nominative plural determinanty, declension pattern of dub)
- determining factor
- (mathematics) determinant
Declension
Declension of determinant
| singular | plural | |
|---|---|---|
| nominative | determinant | determinanty |
| genitive | determinantu | determinantov |
| dative | determinantu | determinantom |
| accusative | determinant | determinanty |
| locative | determinantoch | determinantoch |
| instrumental | determinantom | determinantmi |
Swedish
Noun
determinant c
Declension
| Inflection of determinant | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | determinant | determinanten | determinanter | determinanterna |
| Genitive | determinants | determinantens | determinanters | determinanternas |