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arXiv · 1911.12508

A new proof of an equality associated with submatrices and eigenvector elements

Liguo He·Guirong Song
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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.

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Liguo He, Guirong Song. 2019-11-28. A new proof of an equality associated with submatrices and eigenvector elements. https://arxiv.org/abs/1911.12508

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