eigenvector

English

Etymology

eigen- +‎ vector

Pronunciation

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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, Ax = λx for some scalar λ 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) 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

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Spanish

Noun

eigenvector m. (plural eigenvectores)

1. (linear algebra) eigenvector

Synonyms

• autovector
• vector propio