用初等变换求解矩阵方程A_(m×n)X_(n×p)=B_(m×p)

Simple way about matrix equation A_(m×n)X_(n×p)=B_(m×p) by elementary commutation

利用分块矩阵和矩阵初等变换给出了一个直接求解矩阵方程Am×nXn×p=Bm×p的简捷而实用的方法,并对齐次方程组和非齐次方程组同样可以用此方法很快得到方程组的通解,与文献[1]相比较,该求解方法更加简捷实用。

A simple and applied way about matrix equation Am×nXn×p=Bm×p by elementary commutation is given in this paper, and it also may be applied in two circs:Bm×p=Om×p or Bm×p≠Om×p. when it compared with the way mentioned in literature, the way in this paper looks easier and much applied..