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February 17th, 2011, 05:33 AM   #1
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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.
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February 17th, 2011, 07:24 AM   #2
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Re: Is this statement about n distinct non-zero 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.
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February 22nd, 2011, 04:55 AM   #3
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Re: Is this statement about n distinct non-zero vectors true

sorry wrong post it was for the other one you helped with
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February 22nd, 2011, 05:12 AM   #4
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Re: Is this statement about n distinct non-zero vectors true

got it thanks, since for example we cannot get (1,1) in from our n+1 vectors
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