极大无关组及其余向量线性表示的一种简便求法

A Simple and Convenient Method for the Linear Representation of Maximal Independent Sets and Other Vectors

通过对教材中例题的分析,指出利用极大无关组的定义求解极大无关组的困难所在.同时,给出了一种利用简化的阶梯形矩阵求解极大无关组并用该极大无关组线性表示其余向量的方法,应用实例表明了该方法是有效的、简便的.

By analyzing the examples in textbook,it is found that there exists set of difficulties in solving the maximum independent group through the definition of maximum independent group.Meanwhile,this paper proposes a method of using simplified ladder matrix solving maximum irrelevant group,and the way of presenting the rest of the vector by using this maximum independent group is proposed as well.Applied examples show that the method is effective and simple.