Last Updated:2025/11/28

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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体K上の正方行列Mに対して、Mに代入すると零行列になる次数が最も小さい最高次係数が1の多項式を求めることで最小多項式を決定する。

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