线性方程组解的几何意义与矩阵秩的联系

Relationship of Geometrical Significance of the Solution of Linear Equation System and Matrix Rank

线性方程组有其明显的几何意义,以三元一次线性方程组为例,从理论上讨论了线性方程组解的几何意义与解的判定条件之间的联系,并据此,给出了一种简便判定线性方程组解的情况的一种方法。

There is significant geometrical significance of system of linear equations.Through taking the system of three linear equations as an example,the research discusses the relationship between geometrical significance of the solution of linear equation system and the solution of judging criteria theoretically.Based on this,the research proposes a simple method of judging the solution of linear equation system.