Jordan canonical form without tears

Zhibin Yan

doi:10.1080/0020739X.2025.2580930

Jordan canonical form without tears

Zhibin Yan^*

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Comment/debate

Abstract

Reach Jordan canonical form from rank of matrix directly through elementary row and column operations.

Original language	English
Journal	International Journal of Mathematical Education in Science and Technology
DOIs	https://doi.org/10.1080/0020739X.2025.2580930
State	Accepted/In press - 2025
Externally published	Yes

Keywords

Cayley–Hamilton theorem
Jordan canonical form
finitely generated module
principal ideal domain
rank
reduced row echelon form

Access to Document

10.1080/0020739X.2025.2580930

Cite this

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title = "Jordan canonical form without tears",

abstract = "Reach Jordan canonical form from rank of matrix directly through elementary row and column operations.",

keywords = "Cayley–Hamilton theorem, Jordan canonical form, finitely generated module, principal ideal domain, rank, reduced row echelon form",

author = "Zhibin Yan",

note = "Publisher Copyright: {\textcopyright} 2025 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2025",

doi = "10.1080/0020739X.2025.2580930",

language = "英语",

journal = "International Journal of Mathematical Education in Science and Technology",

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TY - JOUR

T1 - Jordan canonical form without tears

AU - Yan, Zhibin

PY - 2025

Y1 - 2025

N2 - Reach Jordan canonical form from rank of matrix directly through elementary row and column operations.

AB - Reach Jordan canonical form from rank of matrix directly through elementary row and column operations.

KW - Cayley–Hamilton theorem

KW - Jordan canonical form

KW - finitely generated module

KW - principal ideal domain

KW - rank

KW - reduced row echelon form

UR - https://www.scopus.com/pages/publications/105021122125

U2 - 10.1080/0020739X.2025.2580930

DO - 10.1080/0020739X.2025.2580930

M3 - 评论/辩论

AN - SCOPUS:105021122125

SN - 0020-739X

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

ER -

Jordan canonical form without tears

Abstract

Keywords

Access to Document

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Cite this