same linear relation

The paper gives same linear relation proposition and argument among vector groups in the vector space, and USES proposition to solve simple model problematic calculation in the vector space.

给出了向量空间中向量组间相同线性关系的命题与证明，并用命题简捷解决了向量空间典型问题的计算。

And then, the relation between the old and the new coordinates is going to be given by linear formulas at least if I choose the same origin.

然后，旧的和新的坐标之间的关系，可以用线性方程表示，至少当我用相同的初始坐标时。

In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.

研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。