eigenvector
A vector that is only scaled under a particular linear transformationA 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).
Meaning
2 sensesA 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).
Eigenvektor
со́бственный ве́кторsóbstvennyj véktor
A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."
Translations
7 languagesBy meaning 1
By meaning 1
Origin
From eigen- + vector, a partial calque of German Eigenvektor.From eigen- + vector, a partial calque of German Eigenvektor.
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Forms
plural: eigenvectors| Singular | eigenvector |
|---|---|
| Plural | eigenvectors |
regular