Meaning of eigenvector | Babel Free
Definitions
- A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
- A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."
Equivalents
Cymraeg
fector eigen
Dansk
egenvektor
Deutsch
Eigenvektor
Ελληνικά
ιδιοδιάνυσμα
Suomi
ominaisvektori
Français
vecteur propre
Galego
vector propio
Italiano
autovettore
日本語
固有ベクトル
Nederlands
eigenvector
Polski
wektor własny
Română
vector propriu
Русский
со́бственный ве́ктор
Svenska
egenvektor
Examples
“Both equations give the relation x₁ = −x₂. Therefore the set of eigenvectors corresponding to λ = 2 is given by: […] An eigenvector corresponding to λ₁ = 2 is ( −1 1 ).”
CEFR level
C1
Advanced
This word is part of the CEFR C1 vocabulary — advanced level.
This word is part of the CEFR C1 vocabulary — advanced level.
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