minimal polynomial (suomeksi)

Määritelmät:

(lb, en, linear algebra) Given a square matrix ''M'' over a field ''K'', the ''minimal polynomial'' is the monic polynomial over ''K'' of smallest degree, which when applied to ''M'' yields the zero matrix.
(lb, en, field theory) Given a number ''α'' which belongs to some extension field of a field ''K'' and is algebraic over ''K'', the ''minimal polynomial'' for ''α'' over ''K'' is the monic polynomial over ''K'' of smallest degree for which ''α'' is a root.