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Repeated eigenvalues of a symmetric matrix

  1. Dec 21, 2012 #1
    I have been trying to prove the following result:
    If A is real symmetric matrix with an eigenvalue lambda of multiplicity m then lambda has m linearly independent e.vectors.
    Is there a simple proof of this result?
     
  2. jcsd
  3. Dec 21, 2012 #2
    Do you know that symmetric matrices can be (orthogonally) diaganalised?
     
  4. Dec 22, 2012 #3
    That is the result I am trying to prove. Just need to show the result for repeated eigenvalue.
     
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