Change of basis

Change of basis - change of coordinates for a vector space. Article “Change of basis” in English Wikipedia has 30.9 points for quality (as of July 1, 2025). The article contains 4 references and 12 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.63 points.

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

Since the creation of article “Change of basis”, its content was written by 90 registered users of English Wikipedia and edited by 344 registered Wikipedia users in all languages.

The article is cited 154 times in English Wikipedia and cited 770 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #21147 in January 2021
• Global: #44639 in September 2011

The highest popularity rank from 2008:

• Local (English): #96674 in November 2021
• Global: #79271 in November 2021

There are 22 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	Spanish (es) Cambio de base		37.0234
2	English (en) Change of basis		30.9293
3	Ukrainian (uk) Зміна базису		27.8739
4	Catalan (ca) Canvi de base		27.018
5	Galician (gl) Mudanza de base		24.508
6	Portuguese (pt) Mudança de base		24.0066
7	Arabic (ar) تغيير القاعدة (جبر خطي)		22.8161
8	German (de) Basiswechsel (Vektorraum)		21.0933
9	Italian (it) Matrice di cambiamento di base		19.3197
10	Indonesian (id) Perubahan basis		19.2084

More...

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

The most popular language versions of the article "Change of basis" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Change of basis		1 424 625
2	German (de) Basiswechsel (Vektorraum)		819 937
3	French (fr) Changement de base (algèbre linéaire)		680 630
4	Italian (it) Matrice di cambiamento di base		209 897
5	Hebrew (he) מטריצת מעבר		121 019
6	Spanish (es) Cambio de base		58 505
7	Japanese (ja) 基底変換		40 623
8	Chinese (zh) 基变更		39 071
9	Hungarian (hu) Bázistranszformáció		31 976
10	Portuguese (pt) Mudança de base		31 690

More...

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 "Change of basis" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Change of basis		5 346
2	German (de) Basiswechsel (Vektorraum)		1 404
3	French (fr) Changement de base (algèbre linéaire)		1 301
4	Spanish (es) Cambio de base		454
5	Italian (it) Matrice di cambiamento di base		347
6	Hebrew (he) מטריצת מעבר		315
7	Japanese (ja) 基底変換		171
8	Czech (cs) Matice přechodu		138
9	Chinese (zh) 基变更		128
10	Portuguese (pt) Mudança de base		112

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

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

#	Language	AI award	Relative AI
1	English (en) Change of basis		90
2	German (de) Basiswechsel (Vektorraum)		61
3	French (fr) Changement de base (algèbre linéaire)		45
4	Italian (it) Matrice di cambiamento di base		34
5	Hebrew (he) מטריצת מעבר		17
6	Dutch (nl) Basistransformatie		14
7	Japanese (ja) 基底変換		11
8	Czech (cs) Matice přechodu		10
9	Hungarian (hu) Bázistranszformáció		9
10	Chinese (zh) 基变更		9

More...

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

Language versions of the article "Change of basis" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Basiswechsel (Vektorraum)		2
2	Arabic (ar) تغيير القاعدة (جبر خطي)		0
3	Catalan (ca) Canvi de base		0
4	Czech (cs) Matice přechodu		0
5	English (en) Change of basis		0
6	Esperanto (eo) Ŝanĝo de bazo		0
7	Spanish (es) Cambio de base		0
8	Finnish (fi) Kannanvaihto		0
9	French (fr) Changement de base (algèbre linéaire)		0
10	Galician (gl) Mudanza de base		0

More...

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

Language versions of the article "Change of basis" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Change of basis		154
2	French (fr) Changement de base (algèbre linéaire)		146
3	Italian (it) Matrice di cambiamento di base		105
4	Hebrew (he) מטריצת מעבר		75
5	German (de) Basiswechsel (Vektorraum)		63
6	Ukrainian (uk) Зміна базису		52
7	Vietnamese (vi) Phép chuyển cơ sở		48
8	Spanish (es) Cambio de base		19
9	Japanese (ja) 基底変換		16
10	Chinese (zh) 基变更		12

More...

#	Language	Value
ar	Arabic تغيير القاعدة (جبر خطي)
ca	Catalan Canvi de base
cs	Czech Matice přechodu
de	German Basiswechsel (Vektorraum)
en	English Change of basis
eo	Esperanto Ŝanĝo de bazo
es	Spanish Cambio de base
fi	Finnish Kannanvaihto
fr	French Changement de base (algèbre linéaire)
gl	Galician Mudanza de base
he	Hebrew מטריצת מעבר
hu	Hungarian Bázistranszformáció
id	Indonesian Perubahan basis
it	Italian Matrice di cambiamento di base
ja	Japanese 基底変換
nl	Dutch Basistransformatie
pt	Portuguese Mudança de base
sv	Swedish Basbyte
uk	Ukrainian Зміна базису
ur	Urdu تبدیلی از بنیاد سمتیہ
vi	Vietnamese Phép chuyển cơ sở
zh	Chinese 基变更

Best Rank

English: #96674 11.2021

Global: #79271 11.2021

Best Rank

English: #21147 01.2021

Global: #44639 09.2011

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In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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