%0 Journal Article
%T A Further Result on the Cyclic Subspace
%A Huailei Wang
%J Advances in Linear Algebra & Matrix Theory
%P 96-99
%@ 2165-3348
%D 2014
%I Scientific Research Publishing
%R 10.4236/alamt.2014.42007
%X <div align=\"justify\">
	Based on the geometric theories of vector space, a Cross-Identity theorem is proved for the relationship between the power kernels and power images of linear map <img src=\"Edit_cb5f3278-f15b-4d45-be3a-1de482691a0d.bmp\" alt=\"\" height=\"9\" width=\"44\" />on its cyclic subspace. By this result, a new approach of proof is found for the fact that a square matrix with only one eigenvalue and one-dimensional eigenspace is similar to a Jordan block matrix.
</div>
%K Power Kernel
%K Power Image
%K Cyclic Subspace
%K Jordan Block Matrix
%K Linear Map
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45920