« Vecteur propre » : différence entre les versions


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== Français ==
== Français ==
''' XXXXXXXXX '''
''' vecteur propre '''


== Anglais ==
== Anglais ==
''' Eigenvector'''
''' eigenvector'''


Eigen, meaning ‘characteristic of’ or ‘peculiar to’, describes a set of values, vectors, spaces and functions,  that fulfill the same related definition. Here we consider eigenvectors which fulfill the following definition. A transformation t (which operates on and creates vectors) has a scalar eigen value  if there is a vector (not zero)  such that t()= . Intuitively this can be understand as a system where the only thing that happens to  is simple multiplication by . This is important because the identity of  is still preserved and can be recovered by dividing out .
Eigen, meaning ‘characteristic of’ or ‘peculiar to’, describes a set of values, vectors, spaces and functions,  that fulfill the same related definition. Here we consider eigenvectors which fulfill the following definition. A transformation t (which operates on and creates vectors) has a scalar eigen value  if there is a vector (not zero)  such that t()= . Intuitively this can be understand as a system where the only thing that happens to  is simple multiplication by . This is important because the identity of  is still preserved and can be recovered by dividing out .

Version du 30 avril 2021 à 10:59

en construction

Définition

XXXXXXXXX

Français

vecteur propre

Anglais

eigenvector

Eigen, meaning ‘characteristic of’ or ‘peculiar to’, describes a set of values, vectors, spaces and functions, that fulfill the same related definition. Here we consider eigenvectors which fulfill the following definition. A transformation t (which operates on and creates vectors) has a scalar eigen value if there is a vector (not zero) such that t()= . Intuitively this can be understand as a system where the only thing that happens to is simple multiplication by . This is important because the identity of is still preserved and can be recovered by dividing out .



Source : DeepAI.org



Contributeurs: Claire Gorjux, wiki