向量线性方程组的进一步性质  

Further Properties of Systems of Liner Vector Equations

作　　者：郑恒武[1] 姜同松 赵瓒 

机构地区：[1]曲阜师范大学 [2]临沂师专 [3]菏泽师专

出　　处：《菏泽师专学报》1995年第4期17-20,共4页

摘　　要：进一步研究向量线性方程组的性质。首先利用广义道矩阵给出解的一般形式,以及利用逆矩阵给出克兰姆法则的另一种证明方法。然后讨论方程组的基础解系与解空间的直和。In this paper some properties of systems of liner vector equations are fur ther invertigated. Firsty, the general form of solutions of systems of liner vector equations is obtained in terms of generalized inverse matrices, and a new proof on Cramer formula is given by using inverse matrices. Secondly, the propertices on systems of fundamental solutions and the direct sums of solution spaces are discussed.

关 键 词：向量线性方程组 克兰姆法则 基础解系 

分 类 号：O151.2[理学—数学]