English
Etymology
German eigen, own + vector
Pronunciation
audio|en-us-eigenvector.ogg|Audio (US)
Noun
wikipedia
eigenvector (plural eigenvectors)
- linearalg A vector that is not rotated under a given linear transformation; a left eigenvector|left or right eigenvector depending on context.
- context|physics|engineering A right eigenvector; a nonzero vector <math>x</math> such that, for a particular matrix <math>A</math>, <math>A x = \lambda x</math> for some scalar <math>\lambda</math> which is its eigenvalue and an eigenvalue of the matrix.
Synonyms
latent vector, proper vector
Related terms
eigen decomposition
eigenfunction
eigenspace
eigenvalue
Translations
trans-top|vector not rotated by linear transformation
Chinese: �徵��, �徵��
Dutch: eigenvector
Finnish: ominaisvektori
French: vecteur propre m
German: Eigenvektor m
Italian: autovettore m
trans-mid
Japanese: JAchar|������ (koyū bekutoru)
Norwegian: egenvektor c
Romanian: vector propriu
Russian: �об��венн�й век�о� (sóbstvennyj vektor) m
Swedish: egenvektor c
trans-bottom
See also
Mathworld article on eigenvectors
fr:eigenvector
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