确定P^n的子空间交的基的方法

Technique for Determining Base of the Intersection of Subspaces in P^n

本文给出一种Pn的子空间交的基的方法:首先寻找到两个生成子空间V1=L(1α,2α,…,αm)与V2=L(β1,β2,…,βk)各自一组基,对于α∈Pn用所求的各自基来表示,由此构成的齐次线性方程组的基础解系就是α在两个子空间基下的坐标,从而来确定子空间V1∩V2的一组基.

There is one kind of techniques for determining base of the intersection of subspaces in P^n. Each base of two generated subspaces V1=L（α1,α2,…,αm）与V2-L（β1,β2,…,βk） is found. The vector 任意α∈P^n is denoted by base to express the basis set of solutions of component homogeneous system of linear equations that is the coordinate of or in the base of two subspaces. The result is used to determine the bases of subspaces V1∩V2.