A simple proof of Jordan normal form

TL;DR

This paper presents a straightforward proof of the Jordan normal form and rational form of matrices over a field, simplifying understanding of these fundamental linear algebra concepts.

Contribution

It introduces a simplified proof technique for Jordan normal form and rational form, making these concepts more accessible.

Findings

Provides a clear, simplified proof of Jordan normal form

Clarifies the conditions for rational form of matrices

Enhances understanding of matrix canonical forms

Abstract

In this note, a simple proof Jordan normal form and rational form of matrices over a field is given.