Kronecker-Capelli定理

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Kronecker-Capelli定理

Quality:

Rouché–Capelli theorem - theorem in linear algebra that a system of linear equations with n variables has solution(s) iff the rk(A) = rk([A|b]), and that if there are solutions, they form an affine space of dimension n−rk(A). Article “Kronecker-Capelli定理” in Chinese Wikipedia has 14.4 points for quality (as of July 1, 2026). The article contains 0 references and 8 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.6 points.

This article has the best quality in Romanian Wikipedia. However, the most popular language version of this article is English.

Since the creation of article “Kronecker-Capelli定理”, its content was written by 3 registered users of Chinese Wikipedia and edited by 266 registered Wikipedia users in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #15846 in April 2026
  • Global: #26508 in January 2013

The highest popularity rank from 2008:

  • Local (Chinese): #220845 in March 2008
  • Global: #58211 in January 2015

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, 2026 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1Romanian (ro)
Teorema Kronecker-Capelli
47.9015
2Croatian (hr)
Kronecker-Capellijev teorem
29.1073
3German (de)
Satz von Kronecker-Capelli
25.8894
4Polish (pl)
Twierdzenie Kroneckera-Capellego
22.9825
5Chinese (zh)
Kronecker-Capelli定理
14.4165
6Hebrew (he)
משפט רושה-קפלי
13.9866
7English (en)
Rouché–Capelli theorem
12.3774
8Italian (it)
Teorema di Rouché-Capelli
11.5397
9Catalan (ca)
Teorema de Rouché-Frobenius
10.7186
10Spanish (es)
Teorema de Rouché–Frobenius
10.5259
More...

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

Most popular in all the time

The most popular language versions of the article "Kronecker-Capelli定理" in all the time
#LanguagePopularity awardRelative popularity
1Russian (ru)
Теорема Кронекера — Капелли
721 252
2Italian (it)
Teorema di Rouché-Capelli
466 626
3Spanish (es)
Teorema de Rouché–Frobenius
414 498
4Polish (pl)
Twierdzenie Kroneckera-Capellego
283 837
5English (en)
Rouché–Capelli theorem
250 141
6Ukrainian (uk)
Теорема Кронекера — Капеллі
77 272
7French (fr)
Théorème de Rouché-Fontené
40 808
8Czech (cs)
Frobeniova věta
32 426
9Romanian (ro)
Teorema Kronecker-Capelli
29 153
10Serbo-Croatian (sh)
Kroneker-Kapelijeva teorema
19 660
More...

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

Most popular in June 2026

The most popular language versions of the article "Kronecker-Capelli定理" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Rouché–Capelli theorem
949
2Italian (it)
Teorema di Rouché-Capelli
753
3Spanish (es)
Teorema de Rouché–Frobenius
656
4Russian (ru)
Теорема Кронекера — Капелли
638
5Polish (pl)
Twierdzenie Kroneckera-Capellego
459
6Czech (cs)
Frobeniova věta
198
7Romanian (ro)
Teorema Kronecker-Capelli
131
8French (fr)
Théorème de Rouché-Fontené
106
9German (de)
Satz von Kronecker-Capelli
88
10Chinese (zh)
Kronecker-Capelli定理
57
More...

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

The highest AI

Language versions of the article "Kronecker-Capelli定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1Italian (it)
Teorema di Rouché-Capelli
49
2Russian (ru)
Теорема Кронекера — Капелли
39
3English (en)
Rouché–Capelli theorem
35
4Polish (pl)
Twierdzenie Kroneckera-Capellego
22
5Spanish (es)
Teorema de Rouché–Frobenius
20
6Catalan (ca)
Teorema de Rouché-Frobenius
14
7French (fr)
Théorème de Rouché-Fontené
10
8Slovak (sk)
Frobeniova veta (matice)
10
9Ukrainian (uk)
Теорема Кронекера — Капеллі
10
10Hebrew (he)
משפט רושה-קפלי
9
More...

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

The highest AI in June 2026

Language versions of the article "Kronecker-Capelli定理" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Rouché–Capelli theorem
1
2Romanian (ro)
Teorema Kronecker-Capelli
1
3Vietnamese (vi)
Định lý Rouché–Capelli
1
4Azerbaijani (az)
Kroneker-Kapelli teoremi
0
5Catalan (ca)
Teorema de Rouché-Frobenius
0
6Czech (cs)
Frobeniova věta
0
7German (de)
Satz von Kronecker-Capelli
0
8Spanish (es)
Teorema de Rouché–Frobenius
0
9Basque (eu)
Rouché–Frobeniusen teorema
0
10French (fr)
Théorème de Rouché-Fontené
0
More...

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

The highest CI

Language versions of the article "Kronecker-Capelli定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di Rouché-Capelli
96
2Polish (pl)
Twierdzenie Kroneckera-Capellego
51
3Slovak (sk)
Frobeniova veta (matice)
30
4English (en)
Rouché–Capelli theorem
15
5Spanish (es)
Teorema de Rouché–Frobenius
15
6Russian (ru)
Теорема Кронекера — Капелли
11
7Ukrainian (uk)
Теорема Кронекера — Капеллі
10
8Catalan (ca)
Teorema de Rouché-Frobenius
8
9Czech (cs)
Frobeniova věta
8
10Romanian (ro)
Teorema Kronecker-Capelli
7
More...

Scores

Estimated value for Wikipedia:
Chinese:
Global:
Popularity in June 2026:
Chinese:
Global:
Popularity in all years:
Chinese:
Global:
Authors in June 2026:
Chinese:
Global:
Registered authors in all years:
Chinese:
Global:
Citations:
Chinese:
Global:

Quality measures

Interwikis

#LanguageValue
azAzerbaijani
Kroneker-Kapelli teoremi
caCatalan
Teorema de Rouché-Frobenius
csCzech
Frobeniova věta
deGerman
Satz von Kronecker-Capelli
enEnglish
Rouché–Capelli theorem
esSpanish
Teorema de Rouché–Frobenius
euBasque
Rouché–Frobeniusen teorema
frFrench
Théorème de Rouché-Fontené
heHebrew
משפט רושה-קפלי
hrCroatian
Kronecker-Capellijev teorem
huHungarian
Kronecker–Capelli-tétel
itItalian
Teorema di Rouché-Capelli
jaJapanese
ルーシェ=カペリの定理
plPolish
Twierdzenie Kroneckera-Capellego
ptPortuguese
Teorema de Rouché-Capelli
roRomanian
Teorema Kronecker-Capelli
ruRussian
Теорема Кронекера — Капелли
shSerbo-Croatian
Kroneker-Kapelijeva teorema
skSlovak
Frobeniova veta (matice)
srSerbian
Кронекер-Капелијева теорема
ukUkrainian
Теорема Кронекера — Капеллі
viVietnamese
Định lý Rouché–Capelli
zhChinese
Kronecker-Capelli定理

Popularity rank trends

Best Rank Chinese:
#220845
03.2008
Global:
#58211
01.2015

AI rank trends

Best Rank Chinese:
#15846
04.2026
Global:
#26508
01.2013

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Rouché–Capelli theorem from Wikipedia articles about Lewis Carroll, System of linear equations, Cramers rule, Gaussian elimination and Rank. Whereas reading the article about Rouché–Capelli theorem people most often go to Wikipedia articles on Rank, Alfredo Capelli, System of linear equations, Eugène Rouché and Cramers rule.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In Chinese Wikipedia the most popular articles on that day were: 2026年國際足協世界盃, 金特務:本色回歸, 欠妳的那場婚禮, 非份之罪, 鐵拳教育, 埃尔林·哈兰德, 给阿嬷的情书, 郭文贵, 刚果民主共和国, 楊珍妮.

About WikiRank

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information