Last Updated
：2025/11/28
minimal polynomial
Noun
Japanese Meaning
与えられた正方行列に対して、その行列を0行列にする作用を持つ、係数が体K上にある最小次数の単調多項式（先頭係数が1）
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(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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minimal polynomial
To determine the minimal polynomial of a square matrix M over a field K, we look for the monic polynomial of least degree with coefficients in K that evaluates to the zero matrix when applied to M.
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To determine the minimal polynomial of a square matrix M over a field K, we look for the monic polynomial of least degree with coefficients in K that evaluates to the zero matrix when applied to M.
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