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Linear independence after change of basis

  1. Sep 14, 2007 #1
    Will a set of vectors stay linearly independent after a change of basis? If it's not always true then is it likely or would you need a really contrived situation?
  2. jcsd
  3. Sep 14, 2007 #2
    The linear independece or dependece of vectors does not depend on the chosen basis.
  4. Sep 17, 2007 #3


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    indeed. look at the definition. are you using some contrived matrix version of independence? or do you have the correct basis free definition?
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