eigenvector

Fetched 2026-10-26 (cache).

Synonyms: eigenfactor, eigenvectors

Antonyms: eigenfactor, eigenvectors

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|linear algebra}} A [[vector]] that is only [[scalar multiplication|scaled]] (not rotated out of its [[span]]) under a particular [[linear transformation]]; a [[left eigenvector|left]] or [[right eigenvector]] depending on context; {{lb|en|more formally}} given a [[linear transformation]] ''A'', a [[vector]] ''x'' such that ''Ax=λx'' ['''or''' ''xA=λx''] for some [[scalar]] ''λ'' (called the ''[[eigenvalue]]'').
2. {{lb|en|physics|engineering}} A [[right eigenvector]]; given a [[matrix]] ''A'', the eigenvector of the transformation "left-side multiplication by ''A''."

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.