eigenvector

eigenvector
a) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.
b) A right eigenvector; a nonzero vector such that, for a particular matrix , for some scalar which is its eigenvalue and an eigenvalue of the matrix.
Syn: latent vector, proper vector

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  • eigenvector — noun Etymology: International Scientific Vocabulary eigen (from German eigen) + vector Date: 1941 a nonzero vector that is mapped by a given linear transformation of a vector space onto a vector that is the product of a scalar multiplied by the… …   New Collegiate Dictionary

  • eigenvector — /uy geuhn vek teuhr/, n. Math. See characteristic vector. [1955 60; < G Eigenvektor] * * * …   Universalium

  • eigenvector — n. characteristic vector, vector which under a certain linear transformation produces a scalar multiple of the original vector (Mathematics) …   English contemporary dictionary

  • eigenvector — noun Mathematics & Physics a vector which when operated on by a given operator gives a scalar multiple of itself …   English new terms dictionary

  • eigenvector — ei·gen·vector …   English syllables

  • eigenvector — /ˈaɪgənvɛktə/ (say uyguhnvektuh) noun Physics, Mathematics a vector associated with a linear system of equations, as in a matrix, each one having an eigenvalue. {German eigen, literally, own + vector} …  

  • eigenvector — ˈīgənˌˌ noun Etymology: International Scientific Vocabulary eigen (from German, peculiar to, characteristic) + vector more at eigenfrequency : a nonzero vector that is mapped by a give …   Useful english dictionary

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