linear transformation

noun

A map between vector spaces which preserves the operations of vector addition and scalar multiplication.

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Meanings

nounlinear transformation (plural linear transformations)

plural linear transformations

  1. linear algebraA map between vector spaces which preserves the operations of vector addition and scalar multiplication.

    Synonyms: linear map

Synonyms & antonyms

nounA map between vector spaces which preserves the operations of vector addition and scalar multiplication.

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Translations

Afrikaans lineêre transformasie
  • lineêre transformasiea map between vector spaces preserving vector addition and scalar multiplication
Estonian lineaarteisendamine
  • lineaarteisendaminea map between vector spaces preserving vector addition and scalar multiplication
Finnish lineaarikuvaus
  • lineaarikuvausa map between vector spaces preserving vector addition and scalar multiplication
French application linéaire
  • application linéairea map between vector spaces preserving vector addition and scalar multiplication
Greek γραμμικός μετασχηματισμός
  • γραμμικός μετασχηματισμός (grammikós metaschimatismós)a map between vector spaces preserving vector addition and scalar multiplication
Hungarian lineáris transzformáció
  • lineáris transzformációa map between vector spaces preserving vector addition and scalar multiplication
Icelandic línuleg vörpun
  • línuleg vörpuna map between vector spaces preserving vector addition and scalar multiplication
Polish przekształcenie liniowe
  • przekształcenie liniowea map between vector spaces preserving vector addition and scalar multiplication
Russian лине́йное преобразова́ние
  • лине́йное преобразова́ние (linéjnoje preobrazovánije)a map between vector spaces preserving vector addition and scalar multiplication
Spanish transformación lineal
  • transformación lineala map between vector spaces preserving vector addition and scalar multiplication
Swedish linjär transformation, linjär avbildning
  • linjär transformationa map between vector spaces preserving vector addition and scalar multiplication
  • linjär avbildninga map between vector spaces preserving vector addition and scalar multiplication
Thai การแปลงเชิงเส้น
  • การแปลงเชิงเส้นa map between vector spaces preserving vector addition and scalar multiplication
Cite this entry
APA

linear transformation. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/linear%20transformation

MLA

“linear transformation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/linear%20transformation. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “linear transformation,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/linear%20transformation.

Source: linear transformation on Wiktionary, CC BY-SA 4.0.