摘要
方阵是否可以对角化,是矩阵的一条很重要的性质。对方阵可对角化的充要条件的理解,一直是线性代数学习中的一个困难问题。本文利用矩阵秩的相关结论,给出并证明了方阵可对角化的一个充要条件。
In this note, a necessary and sufficient condition of diagonalization for square matrix is considering. diagonalization of square matrix is a difficulty learning problem in linear algebra and it also is an important character for square matrix. By using conclusions of matrix rank, a necessary and sufficient condition of diago- nalization for square matrix is given.
出处
《山东农业大学学报（自然科学版）》
CSCD
北大核心
2008年第4期641-642,647,共3页
Journal of Shandong Agricultural University：Natural Science Edition
关键词
方阵
特征值
特征向量
对角化
Square matrix
eigenvalue
eigenvector
diagonalization
