在教学中，经常遇到如何构造两个有限维线性空间的同构映射的问题。
We always meet problems that how to construct the isomorphic mapping of two finite dimension linear Spaces in teaching.
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.
本文阐述了有限维与无限维线性空间的主要差别。
In this paper, we expound a main distinction between finite dimensional space and infinite dimensional space.
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