minimal polynomial
minimal polynomial · minimal polynomials
For a given square matrix M over some field K, the smallest-degree monic polynomial…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.
Meaning
2 sensesFor 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.
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.
Translations
3 languagesForms
plural: minimal polynomials| Singular | minimal polynomial |
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| Plural | minimal polynomials |
regular
Word family
1 related wordsRelatedannihilator