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eigenvalue

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noun ei·gen·val·ue \ ˈī-gən-ˌval-(ˌ)yü \

Definition of eigenvalue

:a scalar associated with a given linear transformation of a vector space and having the property that there is some nonzero vector which when multiplied by the scalar is equal to the vector obtained by letting the transformation operate on the vector; especially :a root of the characteristic equation of a matrix

Recent Examples of eigenvalue from the Web

By contrast, the Tracy-Widom curve appears to arise from variables that are strongly correlated, such as interacting species, stock prices and matrix eigenvalues.

— natalie wolchover, WIRED, "Mysterious Statistical Law May Finally Have an Explanation," 27 Oct. 2014

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'eigenvalue.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

Origin and Etymology of eigenvalue

partial translation of German Eigenwert, from eigen own, peculiar + Wert value

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First Known Use: 1927

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Britannica English: Translation of eigenvalue for Arabic speakers Britannica.com: Encyclopedia article about eigenvalue

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