研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。
In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum linearly independent vector group.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article by several opposite examples illustrated the former method of finding vector groups maximum linearly independent vector group is imperfect, sometimes even lead to wrong results.
文章总结出了判断向量线性相关和线性无关的八种方法。
The article sums up eight methods to judge the linearly dependent and the linearly independent of vectors.
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum...
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum linearly independent vector...
构造并证明了线性无关向量组的一个充分条件，给出了求极大无关组的一个简单可行的新方法。
The article constructed and proved the one sufficient condition of linearly independent vector group, also a new, simple, practical method to find maximum linearly independent vector...
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