Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem
Rings and Algebras
2013-07-10 v1
Abstract
I propose a proof of the existence of the existence of eigenvectors and eigenvalues in the spirit of Argand's proof of the fundamental theorem of algebra. The proof only relies on Weierstrass's theorem, the definition of the inverse of a linear operator and algebraic identities.
Keywords
Cite
@article{arxiv.1109.6821,
title = {Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem},
author = {Jean Van Schaftingen},
journal= {arXiv preprint arXiv:1109.6821},
year = {2013}
}
Comments
5 pages