Dimension (vector space)

Number of vectors in any basis of the vector space

Dimension (vector space)

Summary

In mathematics, the dimension of a vector space V is the cardinality of a basis of V over its base field. It is sometimes called Hamel dimension or algebraic dimension to distinguish it from other types of dimension.

Originally created by Zundark

2/8/2002, 2:02:05 AM

Modified

4/15/2026, 5:32:43 PM

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Andrew019384/15/2026, 5:32:43 PM

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/* Properties */ Fixed typo

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/* Properties */

Binksternet2/23/2022, 4:06:33 PM

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Copy editing to make this article more compliant with [[MOS:MATH]] and [[Wikipedia:Manual of Style/Accessibility]]. No information was added, removed, or changed.

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Reverted edits by [[Special:Contributions/49.196.21.151|49.196.21.151]] ([[User talk:49.196.21.151|talk]]): disruptive edits ([[WP:HG|HG]]) (3.4.10)

49.196.21.1515/27/2021, 6:06:18 AM

/* Examples */

SirMeowMeow2/9/2021, 6:28:21 AM

Added Axler citation.

Canned Soul11/15/2020, 8:46:34 PM

Importing Wikidata [[Wikipedia:Short description|short description]]: "Number of vectors in any basis of the vector space" ([[Wikipedia:Shortdesc helper|Shortdesc helper]])

Me, Myself, and I are Here10/1/2020, 1:32:31 AM

/* See also */ alpha

JayBeeEll9/21/2020, 3:50:16 PM

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