全日制十年制学校高中课本《数学》第三册介绍了二元、三元和四元线性方程组的行列式解法。这种解法规律性强,结论公式化,易于记忆。但是,行列式解法需要计算不止一个的行列式的值,有时显得并不方便。事实上,对于许多特殊的线性方程组,我们总是希望找到特殊的方法,使得求解的过程得以简化。下面仅举例说明几种常用的方法。 Full-time 10-year high school textbook “Mathematics” Book 3 introduces the determinant solution of binary, ternary, and quaternary linear equations. This kind of solution has strong regularity, formulating conclusions and being easy to remember. However, the determinant solution requires the calculation of more than one determinant value, which sometimes seems inconvenient. In fact, for many special linear equations, we always hope to find a special way to simplify the solution process. The following are only examples of several commonly used methods.