以下为句子列表：
英文: This article proves that primary transformation of line in a matrix is used to judge the dependence and equivalence of vector set as well as the linear representation of vector and to evaluate the radix and dimension of sum and intersection of vector spac
中文: 给出了利用矩阵的初等行变换，判断向量组的相关性，向量组的等价及求向量子空间的和与交的基和维数的方法。
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