Definitions for eigenvalueˈaɪ gənˌvæl yu
Random House Webster's College Dictionary
ei•gen•val•ueˈaɪ gənˌvæl yu(n.)
a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation.
Origin of eigenvalue:
1925–30; < G Eigenwert,=eigen- characteristic, particular +Wertvalue
The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation.
The eigenvalues uE000117279uE001 of a transformation matrix uE000117280uE001 may be found by solving uE000117281uE001 .