Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem

Details Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem

2011-09-29

arxiv.org/abs/1109.6821v1

Mathematics

Rings and Algebras

5 pages

Scientific paper

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.

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