eigenvalue

Fetched 2026-10-26 (cache).

Synonyms: eigenvalues

Antonyms: eigenvalues

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|linear algebra}} A [[scalar]] <math>\lambda</math>, such that there exists a non-zero [[vector]] <math>\mathrm{x}</math> (a corresponding [[eigenvector]]) for which the [[image]] of <math>\mathrm{x}</math> under a given [[linear transformation]] <math>A</math> is equal to the [[image]] of <math>\mathrm{x}</math> under [[multiplication]] by <math>\lambda</math>; i.e. <math>A \mathrm{x} = \lambda \mathrm{x}</math>.

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