线性空间中dimσ(V)+dimσ^(-1)(0)=n的推广

Generalization of the Formula dimσ(V)+dimσ^(-1)(0)=n in Linear Space

在线性空间中,线性变换的值域和核的维数是研究的一个重点,本文推广了线性变换的值域和核的维数的关系,并给出了相应的应用。

In linear space, the dimensions of range and kernel of linear transformation is an important study content. In the paper, the relation of dimensions of range and kernel of linear transformation is generalized and the corresponding applications are given.