Eigenvalues and Eigenvectors

Joseph Mellor
16 min readSep 4, 2023

Eigenvalues and eigenvectors are the most powerful tools in Linear Algebra.

This article is part 7 in the How to Discover Finite Fields series.

We’ve talked about matrices and linear transformations in the previous article in the context of solving systems of equations, but there are often many cases where we have a linear transformation of a space to itself. In cases like that, we can repeatedly apply the linear transformation.

--

--

Joseph Mellor

BS in Physics, Math, and CS with a minor in High-Performance Computing. You can find all my articles at https://josephmellor.xyz/articles/.