eigenelement

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noun

A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm.

Scrabble 15
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Meanings

nouneigenelement (plural eigenelements)

plural eigenelements

  1. mathematicsA nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm.
Cite this entry
APA

eigenelement. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/eigenelement

MLA

“eigenelement.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/eigenelement. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “eigenelement,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/eigenelement.

Source: eigenelement on Wiktionary, CC BY-SA 4.0.