English Explanatory Dictionary

minimal polynomial

English dictionary entry

Meanings

noun
  1. For a given square matrix M over some field K, the smallest-degree monic polynomial over K which, when applied to M, yields the zero matrix.
  2. Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root.

Word forms

minimal polynomial minimal polynomials

Related words

annihilator

Translations

Finnish: minimipolynomi French: polynôme minimal Italian: polinomio minimo Polish: wielomian minimalny
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