摘要
为了刻画矩阵空间上保弱伴随矩阵的线性映射f,引入了保弱伴随矩阵的概念,以矩阵的弱伴随矩阵为不变量,得到了当n≥3时数域F上从线性矩阵空间Mn×n(F)到Mm×m(F)的保弱伴随矩阵的线性映射f的形式.
In this paper, in order to characterize the linear operators on matrix spaces that preserve weak adjoint matrix, we introduce the definition of the preserving weak adjoint matrix and make use of the weak adjoint matrix as the invariant, and then obtain the form of the linear operators from the linear space of Mn×n（F） into Mm×m（F） over the number field F that preserve weak adjoint matrix, where n ≥ 3.
出处
《纯粹数学与应用数学》
CSCD
2009年第3期573-578,共6页
Pure and Applied Mathematics
基金
湖北省教育厅重点科研项目(D200729002)
三峡大学科学基金
关键词
线性保持问题
单射
伴随矩阵
弱伴随矩阵
秩
linear preserver problem, injective map, adjoint matrix, weak adioint matrix, rank
