摘要
获得了线性变换的一个等价条件；利用内积或长度给出了欧氏空间的变换为线性变换的一系列充分条件；进而得到正交变换、对称变换、反对称变换及共轭变换的若干个充要条件，且推广了文［１～８］中的相关结果。
A condition of equivalence of linear transformation is obtained.By utilizing inner product or length,a series of sufficient conditions for linear transformation on transformation of Euclidean space are given.Moreorer,several necessary and sufficient conditions of orthogonal transformation,symmetric transformation,antisymmetric transformation and conjugate transformation are obtained.And some relative results in articles are popularized.
关键词
欧氏空间
变换
线性变换
内积
Euclidean space
transformation
linear transfmation
inner product
