AllWords.com

English

Etymology
German eigen, own + vector

Pronunciation
audio|en-us-eigenvector.ogg|Audio (US)

Noun
wikipedia
eigenvector (plural eigenvectors)

1. linearalg A vector that is not rotated under a given linear transformation; a left eigenvector|left or right eigenvector depending on context.
2. 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: 本徵向量, 特徵向量
Dutch: eigenvector
Finnish: ominaisvektori
French: vecteur propre m
German: Eigenvektor m
Italian: autovettore m
trans-mid
Japanese: JAchar|固有ベクトル (koyū bekutoru)
Norwegian: egenvektor c
Romanian: vector propriu
Russian: собственный вектор (sóbstvennyj vektor) m
Swedish: egenvektor c
trans-bottom

See also
Mathworld article on eigenvectors

fr:eigenvector
pt:eigenvector
sv:eigenvector
vi:eigenvector
zh:eigenvector

• 2007-07-28 19:51 - Hekaheka - /* Translations */ checked sv
• 
  Full Revision History