Standard Lemma guide

eigenbasis

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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  • /ˌaɪ.ɡənˈbeɪ.sɪs/
  • rhymes with -eɪsɪs

1

noun

Meaning 1

A basis for a vector space consisting entirely of eigenvectors.

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- English basis English eigenbasis From eigen- + basis.

Across languages

Translations

3 source translations are retained for this English entry.

  • German: Eigenbasis — basis of a vector space consisting entirely of eigenvectors
  • Portuguese: autobase — basis of a vector space consisting entirely of eigenvectors
  • Portuguese: base própria — basis of a vector space consisting entirely of eigenvectors