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What is the difference between these two operations?

  1. Dec 9, 2011 #1
    In first year, I learned that PAP-1 = D.

    Now, I am learning that S+AS = A(v).

    (where the + sign is a dagger)

    It seems like both of these operations diagonalizes the matrix A, but doesn't feel like they are the same thing, unless they are the same thing.
    Last edited: Dec 9, 2011
  2. jcsd
  3. Dec 9, 2011 #2
    What is the context?? What is A in the first and the second??

    I bet that A in the second case is only allowed to be hermitian, while the first case is more general.
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