同构对线性空间和欧几里得空间的作用及推广

The Role and Extension of Isomorphic Map in Linear Space and Euclidean Space

讨论了同构映射对线性空间及欧氏空间的作用,同构的线性空间及欧氏空间之间的性质;通过同构映射来研究欧氏空间中线性变换的作用,并着重对对称变换进行了分析。

The present article discusses the role of isomorphic map in linear space and Euclidean space and characteristics of linear space and Euclidean space of isomorphic map. Through isomorphic map, the role of the linear transformation in Euclidean space is explored and emphasis is put on the symmetrical transformation.