矩陣的廣義逆及其應用
摘要
本文首先對矩陣的廣義逆進行定義及其分類，然後詳細討論每1類廣義逆矩陣的性質及其求解方法，其中包括減號逆 的性質與求解，自反減號逆 （左逆 與右逆 的性質與求解）以及加號逆 的唯1性證明與求解。通過對每1類廣義逆矩陣的'求解方法的研究，最後探討矩陣的廣義逆在解線形方程組中的應用。
關鍵字：廣義逆矩陣；滿秩長矩陣；初等變換；線形方程組。
Ｇeneralized Inverse Matrices and Its Application
ABSTRACT
Firstly,this paper deals with the definition and classification of generalized inverses; then, the characteristics and solutions of all kinds of generalized inverses , including A-,Ar-,A+, have been discussed;lastly, the application of generalized inverse in solving linear equations has been narrated.
Key word: generalized inverse matrices ,full ring matrix, elementary grade transformation, the line form square distance set.