摘要
讨论准正交变换与正交变换的关系,以及准正交变换的性质。获得:若︿1,…,︿m与﹀1,…,﹀m是n维欧氏空间V中向量组,则存在一个准正交变换δ,使δ(︿i)=﹀i当且仅当存在c∈R+,使c〈︿i,︿j〉=〈﹀i,﹀j〉(i,j=1,…,m)等一些结论。
The relationship between the orthogonal transfortion and the almostorthogonal transformation ,and let α1,...,αm,β1,...,βm∈V(ndimensional vector space),than,there exists δ∈L(V) such that δ(αi)=βi if only if there exists c∈R+,such that c
出处
《宝鸡文理学院学报(自然科学版)》
CAS
2003年第4期254-256,共3页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词
内积
准正交变换
标准正交基
inner product
almost-orthogonal transfortion
orthonormal basis