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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
determinant
of the nine numbers
a, 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)

  1. A determining factor; an element that determines the nature of something
  2. (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
  3. (biology) A substance that causes a cell to adopt a particular fate.

Translations

See also

Adjective

determinant (comparative more determinant, superlative most determinant)

  1. Serving to determine or limit; determinative.

Anagrams


Catalan

Verb

determinant

  1. present participle of determinar

Latin

Verb

dēterminant

  1. third-person plural present active indicative of dēterminō

Norwegian

Noun

determinant m

  1. determinant (determining factor)
  2. (linear algebra) determinant (mathematical term)
    Determinanten til identitetsmatrisa er 1.
    The determinant of the identity matrix equals 1.

Inflection


Slovak

Noun

determinant m (genitive singular determinantu, nominative plural determinanty, declension pattern of dub)

  1. determining factor
  2. (mathematics) determinant

Declension


Swedish

Noun

determinant c

  1. (mathematics) determinant

Declension

Inflection of determinant 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative determinant determinanten determinanter determinanterna
Genitive determinants determinantens determinanters determinanternas