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Basis proof

  1. Nov 5, 2009 #1
    If A is an invertible matrix and vectors (v1,v2,...,vn) is a basis for Rn, prove that (Av1,Av2,....,Avn) is also a basis for Rn.
     
  2. jcsd
  3. Nov 5, 2009 #2

    tiny-tim

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    Hi Chris! :wink:

    Show us how far you get, and where you're stuck, and then we'll know how to help! :smile:
     
  4. Nov 5, 2009 #3
    why don't threads like this get moved to homework?
     
  5. Nov 5, 2009 #4

    HallsofIvy

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    Just lazy mentors!
     
  6. Nov 8, 2009 #5
    I need to prove that (Av1,Av2,....,Avn) spans and that it is linearly independent but this proof is so confusing to me that i don't even know where to start doing that.
     
  7. Nov 8, 2009 #6
    You need to show that b* A(v_1) + ... b_n A(v_n) = 0 implies b_1 ... b_n equals zero, right? Well, you know since A is invertible, what is it's kernal?
     
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