https://subwiki.org/w/index.php?action=history&feed=atom&title=Dimension_of_a_vector_space 2026-06-10T18:54:28Z Revision history for this page on the wiki MediaWiki 1.41.2 https://subwiki.org/w/index.php?title=Dimension_of_a_vector_space&diff=68&oldid=prev 2008-06-08T12:06:49Z

<p>New page: &lt;noinclude&gt;<a href="/w/index.php?title=Status::Basic_definition&amp;action=edit&amp;redlink=1" class="new" title="Status::Basic definition (page does not exist)"> </a><a href="/w/index.php?title=Topic::Linear_algebra&amp;action=edit&amp;redlink=1" class="new" title="Topic::Linear algebra (page does not exist)"> </a>&lt;/noinclude&gt; &#039;&#039;&#039;Dimension of a vector space&#039;&#039;&#039;: The dimension of a vector space over a field equals the cardinality of a...</p> <p><b>New page</b></p><div>&lt;noinclude&gt;[[Status::Basic definition| ]][[Topic::Linear algebra| ]]&lt;/noinclude&gt;<br /> &#039;&#039;&#039;Dimension of a vector space&#039;&#039;&#039;: The dimension of a vector space over a field equals the cardinality of a basis for that vector space (we can always find a basis for any vector space, using the axiom of choice, and any two bases have equal cardinality).<br /> <br /> A field has dimension one as a vector space over itself. Dimension of a direct sum of vector spaces is the sum of their dimensions, and dimension of a tensor product of vector spaces is the product of their dimensions.<br /> <br /> No subject wiki entry</div>

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