In order to apply the Hermite canonical form better,the paper puts forward the concept of left and right identity matrix,and points out the relation between the row(column) Hermite canonical form of matrix and right(left) identity matrix,in the end uses them flexible to discuss the generalized inverse matrix and matrix equation.
为了使Hermite标准形得到更好的应用,给出了左、右单位矩阵的概念,并指出了矩阵的Hermite行(列)标准形与该矩阵的右(左)单位矩阵的关系,且将其灵活地运用到矩阵广义逆及矩阵方程的讨论中去。