Standard Lemma guide

eigenspace

noun · 1 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

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No pronunciation record was provided for this word.

1

noun

Meaning 1

The linear subspace consisting of all eigenvectors associated with a particular eigenvalue, together with the zero vector.

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree Proto-Indo-European *h2eyḱ- Proto-Indo-European *h2eh2óyḱe Proto-Germanic *aiganą Proto-Germanic *aiganaz Proto-West Germanic *aigan Old High German eigan Middle High German eigen German eigenbor. English eigen- Latin spatiumbor. Old French espace Anglo-Norman spacebor. Middle English space English space English eigenspace From eigen- + space.

Across languages

Translations

15 source translations are retained for this English entry.

  • Albanian: eigenhapësirë — set of the eigenvectors associated with a particular eigenvalue
  • Chinese Mandarin: 特徵空間 /特征空间 (tèzhēng kōngjiān) — set of the eigenvectors associated with a particular eigenvalue
  • Danish: egenrum — set of the eigenvectors associated with a particular eigenvalue
  • Dutch: eigenruimte — set of the eigenvectors associated with a particular eigenvalue
  • Finnish: ominaisavaruus — set of the eigenvectors associated with a particular eigenvalue
  • French: espace propre — set of the eigenvectors associated with a particular eigenvalue
  • German: Eigenraum — set of the eigenvectors associated with a particular eigenvalue
  • Greek: ιδιόχωρος (idióchoros) — set of the eigenvectors associated with a particular eigenvalue
  • Icelandic: eiginrúm — set of the eigenvectors associated with a particular eigenvalue
  • Italian: autospazio — set of the eigenvectors associated with a particular eigenvalue
  • Russian: со́бственное простра́нство (sóbstvennoje prostránstvo) — set of the eigenvectors associated with a particular eigenvalue
  • Spanish: espacio propio — set of the eigenvectors associated with a particular eigenvalue
  • Spanish: autoespacio — set of the eigenvectors associated with a particular eigenvalue
  • Spanish: eigenespacio — set of the eigenvectors associated with a particular eigenvalue
  • Spanish: suispacio — set of the eigenvectors associated with a particular eigenvalue