Eigenvalue definitions

ī'gən-văl'yo͝o
The factor by which the magnitude of an eigenvector is changed by a given transformation.
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Any of the possible values of a quantity derived from a differential or integral equation having solutions that satisfy certain special conditions.
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(linear algebra) A scalar, such that there exists a vector (the corresponding eigenvector) for which the image of under a given linear operator is equal to the image of under multiplication by ; i.e.

The eigenvalues of a square transformation matrix may be found by solving .

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Origin of eigenvalue

Partial translation of German Eigenwert eigen- peculiar, characteristic (from eigen own) (from Middle High German) (from Old High German eigan aik- in Indo-European roots) Wert value