TL;DR
This paper provides an accessible proof of the Jordan canonical form, emphasizing the uniqueness of Jordan blocks, suitable for introductory linear algebra courses.
Contribution
It offers a clear, pedagogical proof of the Jordan canonical form, highlighting the uniqueness of block sizes and counts, tailored for beginners.
Findings
Proof confirms the uniqueness of Jordan block sizes and counts.
Provides an educational approach suitable for first courses in linear algebra.
Clarifies the structure of Jordan canonical form for learners.
Abstract
A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Polynomial and algebraic computation