Eigenvalues

Last Updated: January 2, 2026 at 12:30 PM

Scrabble:15 ptsWWF:20 pts11 letters

Definition of Eigenvalues

noun

  1. A scalar, \lambda, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator \mathrm{A} is equal to the image of x under multiplication by \lambda; i.e. \mathrm{A} x = \lambda x.

    "The eigenvalues \lambda of a square transformation matrix \mathrm{M} may be found by solving \det(\mathrm{M} - \lambda\mathrm{I}) = 0."

Synonyms & Antonyms

SYNONYMS

characteristic rootcharacteristic valueeigenrootlatent valueproper value
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