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September 1st, 2012, 03:54 AM   #11
Joined: Jan 2012

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Re: subspace of finite dimensional vector space

Originally Posted by HallsofIvy
But do you know how to prove:
A basis of an n-dimensional vector space has three properties-
1) The vectors in the basis span the space.
2) The vectors in the basis are independent.
3) There are n vectors in the basis.
Thankfully yes.
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