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Multiple eigenbasis?

  1. Feb 21, 2010 #1
    Hi guys

    Is it possible for a matrix to have more than one eigenbasis?

    Sincerely,
    Niles.
     
  2. jcsd
  3. Feb 21, 2010 #2

    MathematicalPhysicist

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    Gold Member

    The eigenbasis isn't unique.

    I would say the eigenbasis is unique up to orthonormalization in inner product spaces.
     
  4. Feb 21, 2010 #3
    For the identity matrix and its scalar multiples every basis is an eigen basis.
     
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