线性方程组求解的新方法

A New Method to Solve System of Linear Equations

利用向量组的线性组合来讨论线性方程组的相容性,给出一种新的解法,即将方程组所确定的矩阵进行初等行变换以后,可以直接写出齐次线性方程组的基础解系和非齐次线性方程组的通解.它比通常所用的消元法简单明了,使用方便,容易掌握.

A new method of using linear combine about vector system to study the solution of system of linear equa-tions is given. After being transformed elementarily the matrix defined by system of linear equations, thesystem of basic solution of system of homogeneous linear equations or general solution of system of inhomo-geneous linear equations can be writen out directly. Compared with elimination, it is much clearer and moreconvenient. It can be mastered easily.