eigenelement

Fetched 2026-10-26 (cache).

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Noun

{{lb|en|mathematics}} A [[nonzero]] element <math>m</math> of a [[semimodule]] <math>M</math>, such that there exists an [[endomorphism]] <math>A</math> on <math>M</math> and a real number <math>r</math> (a corresponding [[eigenvalue]]) for which the [[image]] of <math>m</math> under <math>\mathrm{A}</math> is equal to the [[product]] of <math>r</math> times <math>m</math>; i.e. <math>m {A} = rm</math>.

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