摘要
给定复数域上n阶矩阵A,所有与A反可交换的矩阵集合构成Mn(C)的子空间,称为与A反可换矩阵空间.研究了该空间的维数问题,分别给出了矩阵A相似于对角形和Jordan标准形时,计算与A反可换矩阵空间维数的公式.
For a given matrix A∈ Mn（C）, the set of all matrices being commutable to A forms a subspace of M. （C）, which is called anti-commutable matrix space to A. The dimension of this subspace is investigated, and the formulas of dimension are obtained for the cases of A being similar to the diagonal form and Jordan standard form, respectively.
出处
《甘肃科学学报》
2006年第1期14-16,共3页
Journal of Gansu Sciences
