有限维向量空间中基的选取

Basis Selection in Limited Dimension Vector Space

有限维向量空间中选取基时需注意三个因素:1.用基体现子空间之间的关系;2.使线性变换对应的基矩阵比较简单;3.以逐次扩充的方式选取基。

There are three factors need to be noticed when the basis is selected in limited dimension vector space： 1. reflecting the relationships among subspaces by basis; 2. simplifying basis matrices of linear variation correspondence; 3. selecting basis by the way of gradual expansion.