%0 Journal Article
%T Projections and Reflections in Vector Space
%A Kung-Kuen Tse
%J Advances in Pure Mathematics
%P 436-440
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.66030
%X We study projections onto a subspace and reflections with respect to a
subspace in an arbitrary vector space with an inner product. We give necessary
and sufficient conditions for two such transformations to commute. We then
generalize the result to affine subspaces and transformations.
%K Projection
%K Reflection
%K Commute
%K Inner Product
%K Affine Subspace
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=66572