北京印刷学院学报
北京印刷學院學報
북경인쇄학원학보
Journal of Beijing Institute of Graphic Communication
2008年
6期
74~76
,共null页
线性方程组 克莱姆法则 行列式
線性方程組 剋萊姆法則 行列式
선성방정조 극래모법칙 행렬식
system of linear equations; Cramer's rule; determinant
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。
用剋萊姆法則解線性方程組,需要計算多箇行列式,計算量大,通過優選行列式中的基礎行(列)和基本元素後,再利用化零法與降階法綜閤計算行列式,併分析瞭其理論依據。這種計算行列式的方法既能節省較大的計算量,減少齣錯機會,還便于檢查每一步的計算數據,從而可保證最終結果的準確性。
용극래모법칙해선성방정조,수요계산다개행렬식,계산량대,통과우선행렬식중적기출행(렬)화기본원소후,재이용화령법여강계법종합계산행렬식,병분석료기이론의거。저충계산행렬식적방법기능절성교대적계산량,감소출착궤회,환편우검사매일보적계산수거,종이가보증최종결과적준학성。
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.