基于行最简阶梯型的化学方程式配平法  

Method of Balancing Chemical Equations Based on Row Reduced Echelon Form

作　　者：杨燕妮 YANG Yanni(Kashgar University, Kashgar 844006, Chin)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844006

出　　处：《洛阳理工学院学报（自然科学版）》2017年第3期89-93,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：对文献[1]利用矩阵代数配平化学方程式的方法给予了理论证明,即最终得到的解构成矩阵的零空间。因此,其解可能有无穷多。此外,将文献[1]化简矩阵为阶梯型改进为行最简阶梯型,并指出在化简矩阵为阶梯型时,只能使用行变换。重要的是,可直接利用Matlab软件来替代手工操作,避免用蛮力来执行这些行变换。The theoretical proof of on the article by using the method of matrix algebra for balancing chemical equations is given, that is, the resulting solution form null-space. Therefore, the solution may have an infinite number. In addition, the reducing matrix for ladder type of the article is transformed into the row reduced echelon, and it is pointed out that the elementary row operation can be used only for reducing matrix for ladder type. It is more important that the manual operation can be replaced by using Matlab software to avoid the unnecessary trouble.

关 键 词：质量守恒定律 化学方程式 初等行变换行 零空间 行最简阶梯型 

分 类 号：O151[理学—数学]