A Further Result on the Cyclic Subspace

DOI: 10.4236/alamt.2014.42007   PDF   HTML     3,087 Downloads   4,886 Views  


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 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.

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Wang, H. (2014) A Further Result on the Cyclic Subspace. Advances in Linear Algebra & Matrix Theory, 4, 96-99. doi: 10.4236/alamt.2014.42007.

Conflicts of Interest

The authors declare no conflicts of interest.


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