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Lin. transf. and linear independence

  1. Feb 9, 2005 #1
    Hi,

    If I transform a set of linearly independent vectors by a one-to-one linear transformation, is the transformed set also linearly independent?
     
  2. jcsd
  3. Feb 9, 2005 #2

    Hurkyl

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    Suppose it isn't. What can you say about it?
     
  4. Feb 9, 2005 #3

    mathwonk

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    make sure you know all the definitions of the terms you are using. deciding this problem comes almost immediately just from knowing what the words mean.
     
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