Discussion of linear equations solution

Through the introduction of expansion matrix and transfer matrix operation,and according to block matrix theory and elemantary transformation matrix,the system of basic solutions of homogeneous linear equations and the special solution of non-homogeneous linear equations are obtained by two methods,when the rank of coefficient matrix is equal to the rank of augmented matrix and less than unknown numbers.Thus the general solution of linear equations is directly drived from matrix,and a idea for solving linear equations is given.