A new proof of an equality associated with submatrices and eigenvector elements
Rings and Algebras
2019-12-02 v1
Abstract
By using the methods of Cauchy-Binet type formula and adjugate matrix respectively, a wonderful equality relating to the elements of eigenvectors, the eigenvalues and the submatrix eigenvalues is proved in arXiv:1908.03795. In the note, we use matrix block to provide a new and shorter proof for the equality.
Cite
@article{arxiv.1911.12508,
title = {A new proof of an equality associated with submatrices and eigenvector elements},
author = {Liguo He and Guirong Song},
journal= {arXiv preprint arXiv:1911.12508},
year = {2019}
}