本文利用线性自动机的图型理论，给出一些由初等因子组判定奇偶性的结果。
In this paper some results are reported upon the decision of the evenness by elementary divisors, in accordance with the state diagram theories of linear automata.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
该文利用矩阵的初等变换解决有限维向量空间中向量组的线性性质的有关问题，并给出了这种方法的理论依据。
This paper with elementary transformation of matrix discusses some properties of a set of vectors in finite dimensional vector space and the theory basis of this method is given.
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