浅谈广义逆矩阵

On the Generalized Inverse Matrix

文章介绍莫尔-潘鲁斯(Moore-Penrose)广义逆矩阵的概念及其与实际背景的联系。文章中定理1和定理2说明条件I与相容线性方程组的基本解的广义逆矩阵的联系,定理3说明条件I和IV与相容线性方程组的最小模解的广义逆矩阵的联系。

The article introduces the concept of Moore-Penrose＇s generalized inverse matrix and its relation with the actual background.Theorem 1 and Theorem 2 in this article illustrate the relation between Conditions 1 and generalized inverse matrix of the fundamental solution of compatible linear equation.Theorem 3 illustrates Condition I and Condition IV＇s relation with generalized inverse matrix of the minimal model solution of compatible linear equation.