矩阵的可交换空间的维数的一种求法

On determining the dimension of the exchangeable space of matrix

针对任意的n阶矩阵A,基于它的特征矩阵的标准型,讨论与A可交换的矩阵所构成线性空间{X|AX=X A}的维数的计算.

For thenorder matrix A,presented a new formula to determine the dimension of the corresponding linear space{XAX =X A },which is mainly based on the canonical form of its eigenvalue matrix.