摘要
由矩阵间的三种关系以及每种关系各自存在的条件,给出了这三种矩阵关系间的联系,即相似阵、合同阵必为等价阵;相似为正交相似、合同为正交合同时,相似与合同一致。并对这些结论作了相应的理论证明。
Through analyzing three relations in matrixes and conditions statisfiedby each existed relation ,this paper puts forward the linkage between the relations.Both similar matrix and congruence matrix are equivalent ones.They are identical when similar matrix is orthogonally similar and congruence one is orthogonally congruence.And these conclnsions are also theoretically festified in this paper.
出处
《山西农业大学学报（自然科学版）》
CAS
2004年第2期189-190,共2页
Journal of Shanxi Agricultural University(Natural Science Edition)
基金
山西农业大学科技创新基金(200112)
山西省21世纪初高等教育教学改革项目专项资助
关键词
矩阵
等价关系
相似关系
合同关系
Equivalent relation of matrix
Similar relation of matrix
Congruence relation of matrix.
