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Vector space dimension
Definition
| $V$…$\ \mathcal F$-vector space |
| $\mathrm{dim}(V)\equiv \mathrm{card}(B)$ |
| $B\in\mathrm{basis}(V)$ |
Discussion
For finite vector spaces, the basis cardinality $\mathrm{dim}(V)$ is the only invariant w.r.t. vector space isomorphisms.
The Zero vector space has an empty base. Its vector space dimension is zero.
Reference
Wikipedia: Vector space
Parents
Equivalent to
