minimal polynomial

/M IH1 N AH0 M AH0 L P AA0 L IY0 N OW0 M IY0 AH0 L/

noun

1
(field theory) 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.
2
(linear algebra) 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.

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