线性代数中一个向量等式的新应用

Application of A Vector Equality

本文利用向量等式:对线性代数中的两个重要结论作出新的证明。本文给出的证明,不但方法上具有新意,而且其解决过程也会使我们对问题本身有新的认识和理解。

In this paper, new proofs of two important conclusions in linear algebra are shown with the help of equality of vector （α1 ,α2,α…,αn）（AB） = （ （α1 ,α2,… ,αn）A）B.The processes of the proof not only present a novel method,but also provide us with new understanding of the issue by itself.