关于线性函数的一个定理

A Theorem of Linear Functions

给出了关于线性函数之间可线性表出的一个定理与证明。

In this note,the following theorem is proved:let f, f1, f2, …,fm be linear functions on the vector space V, f is a linear combination of f1, f2, …, fm if and only if ker (f1) ker(f).where ker (g) is the kernel of linear function g(i. e. ker (g)={α|α∈V&g(α)=0}).