摘要
本文通过矩阵初等运算的技巧,建立线性矩阵方程组sum from j=1 to n A<sub>ij</sub>X<sub>j</sub> B<sub>ij</sub>=C<sub>i</sub>（i=1,2,…,m）与线性方程组sum from j=1 to n(B<sub>ij</sub><sup>T</sup>A<sub>ij</sub>)y<sub>j</sub>=C<sub>i</sub>（i=1,2,…,m）的联系,进而给出线性矩阵方程组sum from j=1 to n A<sub>ij</sub>X<sub>j</sub> B<sub>ij</sub>=C<sub>i</sub>（i=1,2,…,m）有解的条件。
relation between linear matrix equation group sum from j=1 to n A_(ij)X_jB_(ij)=C_i(i= 1,2,…,m) and linear equation sum from j=1 to n(B_(ij)~T A_(ij))y_j=Ci(i= 1,2,…,m) was setup,and then condition,practical solution,and forms of all solution of linear matrix equation sum from j=1 to n A_(ij)X_jB_(ij)=C_i(i = 1,2,…,m) having solution was given in the paper.
出处
《阴山学刊（自然科学版）》
2008年第4期9-11,共3页
Yinshan Academic Journal(Natural Science Edition)
关键词
线性矩阵方程组
叉积
拉直
linear matrix equation group
across product
straightn
