Problem and Application of Solutions of Linear Equations

General system of linear equations is discussed and researched using definition,characters,computing of the generalized inverse matrix and its application in the system of linear equations.Generalized inverse matrix is used to solve the general solution of linear equations and minimum norm solution,thus solving the general solution and the minimum norm solution of the general equation under the compatible condition,and the least squares solution under the incompatible situation.The coefficient matrices of linear equation system is discussed when coefficient matrices are not square or irreversible phalanx.Inverse matrix is promoted,generalized inverse matrix is studied,and the generalized inverse matrix is used to discuss the linear equation system.