## 矩阵的广义逆及运用

Generalized Inverse Matrix and Its Application
Abstract：The basic concept and classification of the generalized inverse matrix is presented firstly, and then some important properties and solving the generalized inverse are discussed in detail, including the inverse, Moore-Penrose inverse solution minus the existence and uniqueness of the left and right inverse inverse, the properties and solution and so on. Based on these important generalized inverse the nature and solving method of matrix research, finally discusses the application of generalized inverse matrix, especially when applied to solve linear equations, including the application of generalized inverse matrix to solve the compatibility equations and example over-determined equations.
Keywords: generalized inverse least;squares linear ;equations of matrix

1.  广义逆矩阵    3
1.1广义逆矩阵的基本概念    3
1.2广义逆矩阵的基本性质    5
2.矩阵广义逆的运用    9
2.1广义逆矩阵在线性方程组中的运用    9
3.广义逆矩阵的计算    17
3.1伴随矩阵法    17

3.2初等变换法    17

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