Ivan Shishkin, Birch Grove

Polynôme minimal d’un endomorphisme

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Définition formelle

Soit uu un endomorphisme d’un espace vectoriel EE de dimension finie sur un corps K\mathbb K.

Le polynôme minimal de uu, noté μu\mu_u, est l’unique polynôme unitaire de plus petit degré qui annule uu, c’est-à-dire tel que
μu(u)=0.\mu_u(u)=0.

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