摘要
定义了任意体上矩阵的一种广义逆，解决了任意体上的矩阵方程组的有解判定、解的性质及其通解的显式表示等问题，从而使通常的投影矩阵在任意体上得到了进一步的推广。
n this paper,we define a type of generalized inverse of a matrix over an arbitrary skewfield,and give necessary and sufficient conditions for the solvability of the system of matrix equations overan arbitrary skew fieldThe distinct expressions of the general solutions of the system are also found. Some properties of thesolutions are given. Therefore the original projection matrix is generalized over an arbitrary skew field.
出处
《山东师范大学学报（自然科学版）》
CAS
1994年第4期14-17,共4页
Journal of Shandong Normal University(Natural Science)
关键词
体
矩阵方程组
投影矩阵
广义
逆矩阵
skew field
system of matrix equations
projection matrix
generalized inverse of amatrix
idempotent matrix
