齐齐哈尔大学学报：自然科学版
齊齊哈爾大學學報：自然科學版
제제합이대학학보：자연과학판
Journal of Qiqihar University(Natural Science Edition)
2011年
6期
79-82
,共4页
反对称矩阵%对称矩阵%交换性%导出矩阵%次导出矩阵
反對稱矩陣%對稱矩陣%交換性%導齣矩陣%次導齣矩陣
반대칭구진%대칭구진%교환성%도출구진%차도출구진
anti-symmetric matrix%symmetric matrix%commutativity%induced matrix%sub-induced matrix
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。
通過引入反對稱矩陣的導齣矩陣和次導齣矩陣的概唸,給齣n階反對稱矩陣與n階對稱矩陣可交換的充要條件,利用導齣矩陣和次導齣矩陣的秩,對3階反對稱矩陣進行分類。
통과인입반대칭구진적도출구진화차도출구진적개념,급출n계반대칭구진여n계대칭구진가교환적충요조건,이용도출구진화차도출구진적질,대3계반대칭구진진행분류。
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.
