线性方程组消元法与解的结构关系探讨

Discussion on the Structural Relationship between the Elimination Method and the Solution of Linear Equations

二元一次方程组解的几何意义就是在平面直角坐标系中两条直线的交点。对于三元一次方程组,它的解的几何意义则是在三维笛卡尔坐标系中三个平面的交点。文章主要探讨消元法与解的结构间的关系。

Geometric meaning of the solution of binary linear equation group is the intersection between two lines in the plane right-angle coordinate system. Geometric meaning of the solution of three-variable linear equation group is the intersecting point of the three planes in the three-dimensional Cartesian coordinate system. The paper discusses the relationship between elimination method and structure of solution.