摘要
目的给出拟对合矩阵的定义,讨论其性质和判定,研究拟对合矩阵与广义正交矩阵、广义对称矩阵之间的关系。方法使用推广的方法进行演绎。结果得到了拟对合矩阵的一些性质与判定,并揭示了拟对合矩阵与广义正交矩阵、广义对称矩阵之间的关系。结论深化了代数理论。
Aim To give the definition of involutory matrix,discuss its properties and crierions,establish the relationships of involutory matrix,generalized symmetrical matrix and generalized orthogonal matrix. Methods The popularizing mathod is used. Results Some properties and criterions about involutory matrix are obtained. The relationships of involutory matrix, generalized symmertrical matrix and generalized orthogonal matrix are established. Conclusion The theory of algebra is improved.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2008年第2期92-95,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
韩山师范学院重点扶持科研课题(No.2005-04)
关键词
拟对合矩阵
广义正交矩阵
广义对称矩阵
generalized involutory matrix
generalized orthogonal matrix
generalized symmetricalmatrix
