Nilpotent matrix

Nilpotent matrix - endomorphism whose sufficiently large power is zero. Article “Nilpotent matrix” in English Wikipedia has 28.7 points for quality (as of July 1, 2025). The article contains 8 references and 15 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 3.19 points.

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 “Nilpotent matrix”, its content was written by 63 registered users of English Wikipedia and edited by 306 registered Wikipedia users in all languages.

The article is cited 159 times in English Wikipedia and cited 816 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #69766 in May 2018
• Global: #26112 in January 2005

The highest popularity rank from 2008:

• Local (English): #153760 in October 2020
• Global: #135208 in November 2020

There are 23 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) Nilpotent matrix		28.6726
2	Portuguese (pt) Matriz nilpotente		28.2513
3	Galician (gl) Matriz nilpotente		27.0821
4	Ukrainian (uk) Нільпотентна матриця		22.3769
5	Persian (fa) ماتریس پوچ‌توان		20.7718
6	Russian (ru) Нильпотентная матрица		19.2251
7	French (fr) Matrice nilpotente		14.9683
8	Catalan (ca) Matriu nilpotent		14.1099
9	Chinese (zh) 幂零矩阵		12.5661
10	Greek (el) Μηδενοδύναμος πίνακας		12.0706

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

The most popular language versions of the article "Nilpotent matrix" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Nilpotent matrix		813 867
2	French (fr) Matrice nilpotente		276 364
3	Spanish (es) Matriz nilpotente		262 723
4	German (de) Nilpotente Matrix		248 179
5	Japanese (ja) 冪零行列		96 548
6	Chinese (zh) 幂零矩阵		80 487
7	Hebrew (he) מטריצה נילפוטנטית		67 465
8	Polish (pl) Macierz nilpotentna		38 623
9	Russian (ru) Нильпотентная матрица		34 741
10	Italian (it) Matrice nilpotente		31 485

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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 "Nilpotent matrix" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Nilpotent matrix		1 923
2	German (de) Nilpotente Matrix		601
3	French (fr) Matrice nilpotente		553
4	Hebrew (he) מטריצה נילפוטנטית		272
5	Japanese (ja) 冪零行列		272
6	Russian (ru) Нильпотентная матрица		229
7	Italian (it) Matrice nilpotente		195
8	Chinese (zh) 幂零矩阵		177
9	Spanish (es) Matriz nilpotente		169
10	Polish (pl) Macierz nilpotentna		82

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

Language versions of the article "Nilpotent matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Nilpotent matrix		63
2	German (de) Nilpotente Matrix		46
3	French (fr) Matrice nilpotente		41
4	Spanish (es) Matriz nilpotente		19
5	Hebrew (he) מטריצה נילפוטנטית		17
6	Japanese (ja) 冪零行列		16
7	Dutch (nl) Nilpotente matrix		16
8	Polish (pl) Macierz nilpotentna		16
9	Vietnamese (vi) Ma trận lũy linh		10
10	Italian (it) Matrice nilpotente		9

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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 "Nilpotent matrix" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Catalan (ca) Matriu nilpotent		0
2	Danish (da) Nilpotent matrix		0
3	German (de) Nilpotente Matrix		0
4	Greek (el) Μηδενοδύναμος πίνακας		0
5	English (en) Nilpotent matrix		0
6	Spanish (es) Matriz nilpotente		0
7	Basque (eu) Matrize nilpotente		0
8	Persian (fa) ماتریس پوچ‌توان		0
9	Finnish (fi) Nilpotentti matriisi		0
10	French (fr) Matrice nilpotente		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 "Nilpotent matrix" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Nilpotent matrix		159
2	Japanese (ja) 冪零行列		130
3	Slovenian (sl) Nilpotentna matrika		112
4	French (fr) Matrice nilpotente		90
5	Chinese (zh) 幂零矩阵		65
6	Polish (pl) Macierz nilpotentna		63
7	Portuguese (pt) Matriz nilpotente		55
8	Persian (fa) ماتریس پوچ‌توان		45
9	German (de) Nilpotente Matrix		21
10	Hebrew (he) מטריצה נילפוטנטית		14

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#	Language	Value
ca	Catalan Matriu nilpotent
da	Danish Nilpotent matrix
de	German Nilpotente Matrix
el	Greek Μηδενοδύναμος πίνακας
en	English Nilpotent matrix
es	Spanish Matriz nilpotente
eu	Basque Matrize nilpotente
fa	Persian ماتریس پوچ‌توان
fi	Finnish Nilpotentti matriisi
fr	French Matrice nilpotente
gl	Galician Matriz nilpotente
he	Hebrew מטריצה נילפוטנטית
it	Italian Matrice nilpotente
ja	Japanese 冪零行列
nl	Dutch Nilpotente matrix
pl	Polish Macierz nilpotentna
pt	Portuguese Matriz nilpotente
ru	Russian Нильпотентная матрица
sl	Slovenian Nilpotentna matrika
sv	Swedish Nilpotent matris
uk	Ukrainian Нільпотентна матриця
vi	Vietnamese Ma trận lũy linh
zh	Chinese 幂零矩阵

Best Rank

English: #153760 10.2020

Global: #135208 11.2020

Best Rank

English: #69766 05.2018

Global: #26112 01.2005

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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