eigenvalue

English dictionary entry

Meanings

noun
  1. A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.

Pronunciation

/ˈaɪ.ɡənˌvæl.juː/ /ˈaɪ.ɡənˌvæl.ju/ en-us-eigenvalue.ogg

Word forms

eigenvalue eigenvalues

Etymology

From eigen- + value. Partial calque of German Eigenwert.

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