My Math Forum Is this statement about n distinct non-zero vectors true?

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 February 17th, 2011, 05:33 AM #1 Member   Joined: Feb 2011 Posts: 58 Thanks: 0 Is this statement about n distinct non-zero vectors true? Is this statement true or false if false a counterexample is needed if true then an explanation Any list of more than n distinct non-zero vectors in an n-dimensional vector space must span the space.
 February 17th, 2011, 07:24 AM #2 Senior Member   Joined: Nov 2010 From: Staten Island, NY Posts: 152 Thanks: 0 Re: Is this statement about n distinct non-zero vectors true Take the set $\{ (a,0)|a\in R\}$. This is an uncountable set of vectors from $\mathbb{R}^2$ that does not span $\mathbb{R}^2$ In future posts please show your work so we can see what you've attempted and where you're stuck.
 February 22nd, 2011, 04:55 AM #3 Member   Joined: Feb 2011 Posts: 58 Thanks: 0 Re: Is this statement about n distinct non-zero vectors true sorry wrong post it was for the other one you helped with
 February 22nd, 2011, 05:12 AM #4 Member   Joined: Feb 2011 Posts: 58 Thanks: 0 Re: Is this statement about n distinct non-zero vectors true got it thanks, since for example we cannot get (1,1) in $R^2$ from our n+1 vectors

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### any sequence of n 1 distinct non-zero vectors in an n-dimensional vector space must span the space

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