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bn:05009780n
Noun Concept
Categories: Webarchive template wayback links, Abstract algebra, Mathematical physics, All Wikipedia articles written in American English, Matrix theory
EN
eigenvalue  eigenvalues and eigenvectors  eigenvector  eigenvectors and eigenvalues  algebraic multiplicity
EN
In linear algebra, it is often important to know which vectors have their directions unchanged by a linear transformation. Wikipedia
Definitions
Examples
Relations
Sources
EN
In linear algebra, it is often important to know which vectors have their directions unchanged by a linear transformation. Wikipedia
Vectors that map to their scalar multiples, and the associated scalars Wikidata
For a linear map, the scale factor when the map is applied to a particular eigenvector Wikidata
A scalar, λ , such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator A is equal to the image of x under multiplication by λ ; i.e. A x = λ x . Wiktionary
Scalar multiplier of an eigenvector. Wiktionary (translation)
Given a linear transformation T , a vector x such that A x = λ x for some scalar λ. Wiktionary
EN
The eigenvalues λ of a square transformation matrix M may be found by solving det ( M − λ I ) = 0 . Wiktionary
IS A
invariant
number
generalized eigenvector
geometrical properties of polynomial roots
solution
+1 relations
PART OF
spectrum of a matrix
HAS KIND
zero mode
eigenfunction
CheiRank
eigenface
spectrum of a matrix
+1 relations
CALCULATED FROM
square matrix
DIFFERENT FROM
generalized eigenvector
FACET OF
eigenvalue
Wikipedia
EN
eigenvalues and eigenvectors
Wikidata
EN
eigenvalue, eigenvector, eigenvectors and eigenvalues
Wiktionary
EN
eigenvalue, eigenvector
Wikipedia Redirections
EN
algebraic multiplicity, characteristic root, Characteristic value, Eigen-values and eigenvectors, Eigen basis, Eigen value, Eigen value problem, Eigen values, Eigen vector, Eigen Vectors, eigenanalysis, eigenbasis, Eigenenergies, Eigenenergy, eigenfrequency, eigenline, Eigenmatrix, eigenmode, eigenproblem, eigenspace, Eigensubspace, eigensystem, Eigenvalue, eigenvector, and eigenspace, Eigenvalue, eigenvector and eigenspace, Eigenvalue problem, eigenvalues, eigenvector, Eigenvector, eigenvalue, and eigenspace, Eigenvector, eigenvalue and eigenspace, Eigenvector-eigenvalue identity, eigenvectors, Eigenvectors and eigenvalues, geometric multiplicity, Latent root, Latent vector, left eigenvector, Principal eigenvector, proper value, Proper values, Proper vector, racine caractéristique, right eigenvector, semisimple eigenvalue, simple eigenvalue, spectral properties
Wikidata Alias
EN
characteristic vector, eigenvalues, eigenvalues and eigenvectors, ew, ordinary eigenvector

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