矩阵弱对角化的充要条件  

The necessary and sufficient conditions of weak diagonalization of the square matrix

作　　者：陈晓红[1] 燕敏[1] 李振振[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2015年第3期78-81,共4页Journal of Hubei Normal University(Natural Science)

摘　　要：通过若当定理、矩阵的特征值、特征向量及矩阵的秩等式,研究了n阶矩阵可弱对角化的性质,得出了矩阵可弱对角化的一些充要条件,这些结论推广了矩阵可对角化的有关结果.In this paper, by the Jordan theorem, the matrix eigenvalue and eigenvector and the rank equation of the matrix, the characteristics of the weak diagonalization of square matrix are studied. In addition, the necessary and sufficient conditions of weak diagonalization of the square matrix are obtained, and the relevant results of the diagonalization are extended.

关 键 词：对角矩阵 弱对角化 特征值 特征向量 

分 类 号：O151.21[理学—数学]