This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
Additionally, the well-known four colour problem and elementary geometry theorem-proving problem have been discussed.
同时，也对四色问题与初等几何定理证明作了简单的讨论。
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