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vector_space_dimension [2013/08/31 16:16] nikolaj |
vector_space_dimension [2013/09/06 23:12] nikolaj |
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==== Discussion ==== | ==== Discussion ==== | ||
For finite vector spaces, the basis cardinality $\mathrm{dim}(V)$ is the only invariant w.r.t. vector space isomorphisms. | For finite vector spaces, the basis cardinality $\mathrm{dim}(V)$ is the only invariant w.r.t. vector space isomorphisms. | ||
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+ | The [[http://en.wikipedia.org/wiki/Zero_vector_space#Vector_space|Zero vector space]] has an empty base. Its [[vector space dimension]] is zero. | ||
==== Reference ==== | ==== Reference ==== | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Vector_space|Vector space]] | Wikipedia: [[http://en.wikipedia.org/wiki/Vector_space|Vector space]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
- | === Image of === | + | === Requirements === |
[[Vector space basis]] | [[Vector space basis]] |