Jordan标准形定理的证明

A Note on the Theorem of Jordan's Canonical Form

矩阵的Jordan标准形定理的证明通常都用λ-矩阵的不变因子、初等因子,或用线性空间、线性变换的分解等较高一层的理论,都比较复杂.作者给出一个只用矩阵的初等变换和数学归纳法的比较简易的证法.

An elementary proof of Jordan`s theorem based on elementary matrix and mathematical induction is given. This method is easier than the invariant factors and elementary factors of λmatrices or the decomposition of linear spaces and linear transformations.