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eigenvalue

The correct spelling is eigenvalue.

How to pronounce eigenvalue

/ˈaɪɡənˌvæljuː/
noun

IPA: /ˈaɪɡənˌvæljuː/

Say it like: Ayj-env-alue

The correct spelling is eigenvalue. 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 ima… For example: "The eigenvalues \lambda of a square transformation matrix \mathrm{M} may be found by solving \det(\mathrm{M} - \lambda\mathrm{I}) = 0."

Usage Examples

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

Definition

noun

  1. 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.

Similar words

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