eigenvector

English

Etymology

eigen- +‎ vector

Pronunciation

• Audio (US)

  (file)

Noun

Wikipedia eigenvector (plural eigenvectors)

1. (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.
2. (physics, engineering) A right eigenvector; a nonzero vector $x$ such that, for a particular matrix $A$, $A x = \lambda x$ for some scalar $\lambda$ which is its eigenvalue and an eigenvalue of the matrix.

Synonyms

• latent vector, proper vector

Related terms

• eigendecomposition
• eigenfunction
• eigenspace
• eigenvalue

Translations

vector not rotated by linear transformation

• Chinese: 本徵向量, 特徵向量
• Danish: egenvektor (da) c
• Dutch: eigenvector (nl)
• Estonian: omavektor (et)
• Finnish: ominaisvektori (fi)
• French: vecteur propre (fr) m
• German: Eigenvektor (de) m
• Greek: ιδιοδιάνυσμα (el) (idiodiánysma) n
• Icelandic: eiginvigur (is) m, eiginvektor (is) m
• Italian: autovettore (it) m

• Japanese: 固有ベクトル (koyū bekutoru)
• Norwegian:

  Bokmål: egenvektor (no) m

  Nynorsk: eigenvektor (no) m

• Romanian: vector propriu
• Russian: собственный вектор (sóbstvennyj vektor) m
• Spanish: vector propio (es) m, autovector (es) m, eigenvector (es) m
• Swedish: egenvektor (sv) c

See also

• Mathworld article on eigenvectors

---

Spanish

Noun

eigenvector m (plural eigenvectores)

1. (linear algebra) eigenvector

Synonyms

• autovector
• vector propio