应用克莱姆法则的一种简便计算

A Simple Calculation of Applying Cramer's Rule

用克莱姆法则解线性方程组,需要计算多个行列式,计算量大,通过优选行列式中的基础行(列)和基本元素后,再利用化零法与降阶法综合计算行列式,并分析了其理论依据。这种计算行列式的方法既能节省较大的计算量,减少出错机会,还便于检查每一步的计算数据,从而可保证最终结果的准确性。

Many determinants need to be dealt with and the calculation amount is very large when a system of linear equations is computed by using Cramer＇s rule. An alternate method to calculate determinant is proposed by selecting elementary row （column） and elementary element, combined with zeroing and depression of order. The theory analysis is discussed. The method proposed in the paper can reduce the calculaton amount as well as the opportunity of making mistakes and be convenient for check-up.