利用向量组线性相关性的基本判别定理1和2，给出了判别两个向量组等价及其线性相关性的推论1和2及应用举例。
In this paper, two inferences and their applied examples about the equivalence and the linearly dependent of two vector groups by using its discriminating theorem 1, 2 are presented.
向量组的线性相关性是线性代数中的重要概念，也是解决问题的重要的理论根据。
Linear relation of vector group is an important concept in linear algebra and is also an important theoretical foundation of solving problems.
在向量场正则形理论的指导下，提出了求解向量场非线性相关系数的算法。
On the basis of the normal form theory of vector fields, an algorithm to calculate the nonlinear participation coefficient is presented.
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