摘要
通过引入反对称矩阵的导出矩阵和次导出矩阵的概念,给出n阶反对称矩阵与n阶对称矩阵可交换的充要条件,利用导出矩阵和次导出矩阵的秩,对3阶反对称矩阵进行分类。
In this paper,we introduce the concepts of the induced matrix and sub-induced matrix of an anti-symmetric matrix,and give two equivalent conditions that an n-order anti-symmetric matrix and an n-order symmetric matrix are commutative.At last,using the ranks of induced matrix and sub-induced matrix,we give a partition of 3-order anti-symmetric matrices.
出处
《齐齐哈尔大学学报（自然科学版）》
2011年第6期79-82,共4页
Journal of Qiqihar University(Natural Science Edition)
基金
黑龙江省教育厅科学技术研究项目(11551542)
齐齐哈尔大学青年教师科研启动支持计划项目(2010K-M33)
关键词
反对称矩阵
对称矩阵
交换性
导出矩阵
次导出矩阵
anti-symmetric matrix
symmetric matrix
commutativity
induced matrix
sub-induced matrix
