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English Dictionary - With Multi-Lingual Search
Your Query of 'eigenvalue' Resulted in 1 Matches
Displaying Items 1 through 1
Definitions
eigenvalue
noun
(
linearalg
) The change in magnitude of a vector that is not rotated under a given linear transformation; formally, a scalar <math>\lambda</math> such that, for a particular matrix <math>A</math>, <math>A x = \lambda x</math> for some nonzero vector <math>x</math>, an eigenvector of the matrix; thus, a value of <math>\lambda</math> such that <math>\mathrm{det}(A - \lambda I) = 0</math> for a given square matrix <math>A</math>, where <math>I</math> is the identity matrix and <math>\mathrm{det}</math> is the determinant operator.
Translations:
Dutch: eigenwaarde
(nl)
f
German: Eigenwert
(de)
m
French: valeur propre
Italian: autovalore
(it)
m
Spanish: autovalor , valor propio , valor característico (
dated
)
Etymology:
From
eigen
, "own" +
value
.
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