1. May 13, 2009 #1

   hydralisks

   

   If a question asks "does v1, v2, v3 span R4"
   can i just say no, regardless of what v1 v2 v3 is
   because v1 v2 and v3 is just 3 dimensions while R4 needs 4 dimensions?

    

   hydralisks, May 13, 2009
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3. May 13, 2009 #2

   fluidistic

   

   Gold Member

   I'm almost sure you're right on this.

    

   fluidistic, May 13, 2009
4. May 13, 2009 #3

   hydralisks

   

   Thanks!

    

   hydralisks, May 13, 2009
5. May 14, 2009 #4

   HallsofIvy

   

   Science Advisor

   Yes. If a set of vectors spans a space, then some subset of it forms a basis for the space. Since no subset of 3 vectors can span a four dimensional set, this set cannot span R⁴.

    

   HallsofIvy, May 14, 2009

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