Vecteur propre

Définition

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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