Cayley–Hamilton theorem

Cayley–Hamilton theorem - theorem that a square matrix satisfies its own characteristic equation. Article “Cayley–Hamilton theorem” in English Wikipedia has 56.4 points for quality (as of July 1, 2025). The article contains 27 references and 23 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Cayley–Hamilton theorem”, its content was written by 154 registered users of English Wikipedia and edited by 637 registered Wikipedia users in all languages.

The article is cited 70 times in English Wikipedia and cited 766 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #6829 in March 2003
• Global: #11625 in March 2003

The highest popularity rank from 2008:

• Local (English): #67130 in December 2021
• Global: #74691 in December 2021

There are 27 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Cayley–Hamilton theorem		56.3986
2	Greek (el) Θεώρημα Κέιλι-Χάμιλτον		52.7216
3	Japanese (ja) ケイリー・ハミルトンの定理		36.3126
4	Czech (cs) Cayleyho–Hamiltonova věta		30.194
5	Hungarian (hu) Cayley–Hamilton-tétel		25.5913
6	French (fr) Théorème de Cayley-Hamilton		20.1272
7	Korean (ko) 케일리-해밀턴 정리		19.0899
8	German (de) Satz von Cayley-Hamilton		18.032
9	Slovak (sk) Cayleyho-Hamiltonova veta		16.266
10	Russian (ru) Теорема Гамильтона — Кэли		14.8202

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Cayley–Hamilton theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Cayley–Hamilton theorem		1 901 818
2	Japanese (ja) ケイリー・ハミルトンの定理		407 435
3	French (fr) Théorème de Cayley-Hamilton		305 879
4	Spanish (es) Teorema de Cayley-Hamilton		228 394
5	German (de) Satz von Cayley-Hamilton		195 355
6	Chinese (zh) 凱萊–哈密頓定理		136 750
7	Korean (ko) 케일리-해밀턴 정리		107 710
8	Russian (ru) Теорема Гамильтона — Кэли		104 886
9	Italian (it) Teorema di Hamilton-Cayley		98 705
10	Romanian (ro) Teorema Cayley-Hamilton		89 296

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Cayley–Hamilton theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Cayley–Hamilton theorem		6 800
2	Korean (ko) 케일리-해밀턴 정리		1 496
3	Japanese (ja) ケイリー・ハミルトンの定理		1 366
4	Chinese (zh) 凱萊–哈密頓定理		1 068
5	French (fr) Théorème de Cayley-Hamilton		861
6	Russian (ru) Теорема Гамильтона — Кэли		816
7	German (de) Satz von Cayley-Hamilton		694
8	Italian (it) Teorema di Hamilton-Cayley		342
9	Polish (pl) Twierdzenie Cayleya-Hamiltona		286
10	Hebrew (he) משפט קיילי-המילטון		269

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Cayley–Hamilton theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Cayley–Hamilton theorem		154
2	French (fr) Théorème de Cayley-Hamilton		83
3	German (de) Satz von Cayley-Hamilton		54
4	Italian (it) Teorema di Hamilton-Cayley		45
5	Japanese (ja) ケイリー・ハミルトンの定理		40
6	Hebrew (he) משפט קיילי-המילטון		37
7	Hungarian (hu) Cayley–Hamilton-tétel		23
8	Russian (ru) Теорема Гамильтона — Кэли		20
9	Croatian (hr) Cayley-Hamiltonov teorem		19
10	Spanish (es) Teorema de Cayley-Hamilton		16

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Cayley–Hamilton theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Hungarian (hu) Cayley–Hamilton-tétel		1
2	Arabic (ar) مبرهنة كايلي-هاميلتون		0
3	Catalan (ca) Teorema de Cayley-Hamilton		0
4	Czech (cs) Cayleyho–Hamiltonova věta		0
5	German (de) Satz von Cayley-Hamilton		0
6	Greek (el) Θεώρημα Κέιλι-Χάμιλτον		0
7	English (en) Cayley–Hamilton theorem		0
8	Spanish (es) Teorema de Cayley-Hamilton		0
9	Persian (fa) قضیه کیلی-همیلتون		0
10	French (fr) Théorème de Cayley-Hamilton		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Cayley–Hamilton theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Japanese (ja) ケイリー・ハミルトンの定理		144
2	French (fr) Théorème de Cayley-Hamilton		113
3	Italian (it) Teorema di Hamilton-Cayley		100
4	English (en) Cayley–Hamilton theorem		70
5	Arabic (ar) مبرهنة كايلي-هاميلتون		52
6	Polish (pl) Twierdzenie Cayleya-Hamiltona		38
7	Urdu (ur) کیلے ہمیلٹن مسئلہ اثباتی		34
8	Spanish (es) Teorema de Cayley-Hamilton		21
9	Chinese (zh) 凱萊–哈密頓定理		21
10	German (de) Satz von Cayley-Hamilton		20

More...

#	Language	Value
ar	Arabic مبرهنة كايلي-هاميلتون
ca	Catalan Teorema de Cayley-Hamilton
cs	Czech Cayleyho–Hamiltonova věta
de	German Satz von Cayley-Hamilton
el	Greek Θεώρημα Κέιλι-Χάμιλτον
en	English Cayley–Hamilton theorem
es	Spanish Teorema de Cayley-Hamilton
fa	Persian قضیه کیلی-همیلتون
fr	French Théorème de Cayley-Hamilton
he	Hebrew משפט קיילי-המילטון
hr	Croatian Cayley-Hamiltonov teorem
hu	Hungarian Cayley–Hamilton-tétel
it	Italian Teorema di Hamilton-Cayley
ja	Japanese ケイリー・ハミルトンの定理
ko	Korean 케일리-해밀턴 정리
nl	Dutch Stelling van Cayley-Hamilton
pl	Polish Twierdzenie Cayleya-Hamiltona
pt	Portuguese Teorema de Cayley-Hamilton
ro	Romanian Teorema Cayley-Hamilton
ru	Russian Теорема Гамильтона — Кэли
sh	Serbo-Croatian Cayley-Hamiltonov teorem
sk	Slovak Cayleyho-Hamiltonova veta
sr	Serbian Кејли-Хамилтонова теорема
sv	Swedish Cayley–Hamiltons sats
uk	Ukrainian Теорема Гамільтона — Келі
ur	Urdu کیلے ہمیلٹن مسئلہ اثباتی
zh	Chinese 凱萊–哈密頓定理

Best Rank

English: #67130 12.2021

Global: #74691 12.2021

Best Rank

English: #6829 03.2003

Global: #11625 03.2003

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information