Standard Lemma guide

determinant

adj · noun · 9 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • Australian, UK: /dɪˈtɜːmɪnənt/
  • Canada, General-American: /dɪˈtɝmɪnənt/
  • Canada, General-American: /dɪˈtɝmənənt/
  • US: Recorded audio is listed in the source snapshot.
  • CMU ARPABET: D IH0 T ER1 M AH0 N AH0 N T Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.

1

adj

Meaning 1

Serving to determine or limit; determinative.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

A determining factor; an element that determines the nature of something.

Definition source: English Wiktionary via Wiktextract

Examples

  • 1999, Noah P. Barsky, Stuart Bruchey (editor), Organizational Determinants of Budgetary Influence and Involvement, Taylor & Francis (Garland Publishing), page 4, Shields and Young (1993) argue that the budget participation literature "has not produced a coherent nor unified definition" of both the determinants and consequences of budget participation.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

A scalar that encodes certain characteristics of a given transformation matrix; the unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value 1 for the unit matrix; abbreviated as: det.

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

Examples

  • 1966 [Allyn & Bacon], Howard Whitley Eves, Elementary Matrix Theory, 1980, Dover, Unabridged corrected republication, page 165, The determinant of a square matrix A_(n) is a function (actually a polynomial function) of the elements a_ij of A.
  • 1990, Assem S. Deif, Advanced Matrix Theory for Scientists and Engineers, Gordon and Breach Science Publishers (Abacus Press), 2nd Edition, page 18, Show that the determinant of a Hermitian matrix is real and that of a skew-Hermitian matrix is imaginary.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

A substance that causes a cell to adopt a particular fate.

Definition source: English Wiktionary via Wiktextract

Topics: biology, natural-sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

noun

Meaning 5

Something that causes a nuclease to cut at a specified point

Definition source: English Wiktionary via Wiktextract

Topics: biology, genetics, medicine, natural-sciences, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

adjective satellite

Meaning 6

having the power or quality of deciding

Definition source: Princeton WordNet 3.0

Examples

  • the crucial experiment
  • cast the deciding vote
  • the determinative (or determinant) battle

Meaning relationships

Synonyms: deciding(a), determinative, determining(a)

Antonyms: none provided

7

noun

Meaning 7

a determining or causal element or factor

Definition source: Princeton WordNet 3.0

Examples

  • education is an important determinant of one's outlook on life

Meaning relationships

Synonyms: determiner, determinative, determining factor, causal factor

Antonyms: none provided

Broader terms: cognitive factor

Narrower terms: clincher, decisive factor, influence

8

noun

Meaning 8

a square matrix used to solve simultaneous equations

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: square matrix

9

noun

Meaning 9

the site on the surface of an antigen molecule to which an antibody attaches itself

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: antigenic determinant, epitope

Antonyms: none provided

Broader terms: site, situation

History

Etymology

Borrowed from French déterminant, equivalent to determine + -ant.

Across languages

Translations

42 source translations are retained for this English entry.

  • Arabic: مُحَدِّدٌ (muḥaddidun) — determining factor
  • Bulgarian: определител (opredelitel) — determining factor
  • Chinese Mandarin: 決定(性)因素 /决定(性)因素 — determining factor
  • Finnish: määräävä tekijä — determining factor
  • Finnish: ratkaiseva tekijä — determining factor
  • French: déterminant — determining factor
  • Hungarian: meghatározó — determining factor
  • Indonesian: determinan — determining factor
  • Indonesian: penentu — determining factor
  • Irish: cinntitheach — determining factor
  • Norwegian: determinant — determining factor
  • Portuguese: determinante — determining factor
  • Russian: определя́ющий фа́ктор (opredeljájuščij fáktor) — determining factor
  • Russian: определи́тель (opredelítelʹ) — determining factor
  • Bulgarian: детерминанта (determinanta) — scalar that encodes certain characteristics of a square matrix
  • Catalan: determinant — scalar that encodes certain characteristics of a square matrix
  • Chinese Mandarin: 行列式 (hánglièshì) — scalar that encodes certain characteristics of a square matrix
  • Czech: determinant — scalar that encodes certain characteristics of a square matrix
  • Danish: determinant — scalar that encodes certain characteristics of a square matrix
  • Dutch: determinant — scalar that encodes certain characteristics of a square matrix
  • Estonian: determinant — scalar that encodes certain characteristics of a square matrix
  • Finnish: determinantti — scalar that encodes certain characteristics of a square matrix
  • French: déterminant — scalar that encodes certain characteristics of a square matrix
  • German: Determinante — scalar that encodes certain characteristics of a square matrix
  • Greek: ορίζουσα (orízousa) — scalar that encodes certain characteristics of a square matrix
  • Hindi: सारणिक (sārṇik) — scalar that encodes certain characteristics of a square matrix
  • Hungarian: determináns — scalar that encodes certain characteristics of a square matrix
  • Icelandic: ákveða — scalar that encodes certain characteristics of a square matrix
  • Indonesian: determinan — scalar that encodes certain characteristics of a square matrix
  • Italian: determinante — scalar that encodes certain characteristics of a square matrix
  • Japanese: 行列式 (gyōretsu-shiki) — scalar that encodes certain characteristics of a square matrix
  • Korean: 행렬식 (haengnyeolsik) — scalar that encodes certain characteristics of a square matrix
  • Malay: penentu — scalar that encodes certain characteristics of a square matrix
  • Norwegian: determinant — scalar that encodes certain characteristics of a square matrix
  • Polish: wyznacznik — scalar that encodes certain characteristics of a square matrix
  • Portuguese: determinante — scalar that encodes certain characteristics of a square matrix
  • Russian: детермина́нт (determinánt) — scalar that encodes certain characteristics of a square matrix
  • Slovak: determinant — scalar that encodes certain characteristics of a square matrix
  • Spanish: determinante — scalar that encodes certain characteristics of a square matrix
  • Swedish: determinant — scalar that encodes certain characteristics of a square matrix
  • Tagalog: taliyak — scalar that encodes certain characteristics of a square matrix
  • Vietnamese: định thức — scalar that encodes certain characteristics of a square matrix
Real reading context

determinant in complete knowledge articles