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**Dragonshade****Member**- Registered: 2008-01-16
- Posts: 147

Is it true that every vector space (infinite dimension) contains a nontrivial (not just 0) finite dimension subspace?

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**scientia****Member**- Registered: 2009-11-13
- Posts: 222

Any *n* linearly independent vectors will span a subspace of dimension *n*.

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