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February 17th, 2011, 06:33 AM  #1 
Member Joined: Feb 2011 Posts: 58 Thanks: 0  Is this statement about n distinct nonzero 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 nonzero vectors in an ndimensional vector space must span the space. 
February 17th, 2011, 08:24 AM  #2 
Senior Member Joined: Nov 2010 From: Staten Island, NY Posts: 152 Thanks: 0  Re: Is this statement about n distinct nonzero vectors true
Take the set . This is an uncountable set of vectors from that does not span In future posts please show your work so we can see what you've attempted and where you're stuck. 
February 22nd, 2011, 05:55 AM  #3 
Member Joined: Feb 2011 Posts: 58 Thanks: 0  Re: Is this statement about n distinct nonzero vectors true
sorry wrong post it was for the other one you helped with

February 22nd, 2011, 06:12 AM  #4 
Member Joined: Feb 2011 Posts: 58 Thanks: 0  Re: Is this statement about n distinct nonzero vectors true
got it thanks, since for example we cannot get (1,1) in from our n+1 vectors


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