Two eigenvectors for the price of one
History and Overview
2021-06-28 v1
Abstract
Starting from a mistake done by a student, we discover an unexpected method of finding both eigenvectors for a matrix with distinct eigenvalues in a single computation. We discuss a connection with the Cayley-Hamilton theorem, and show the corresponding generalization for a matrix. The arguments should be understandable for strong linear algebra students.
Keywords
Cite
@article{arxiv.2106.13595,
title = {Two eigenvectors for the price of one},
author = {Juan Tolosa},
journal= {arXiv preprint arXiv:2106.13595},
year = {2021}
}
Comments
10 pages, no figures, multiple examples