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Real symmetric matrix

  1. Dec 18, 2009 #1
    1. The problem statement, all variables and given/known data

    Given a real diagonal matrix D, and a real symmetric matrix A,

    2. Relevant equations

    Let C=D*A.

    3. The attempt at a solution

    How to prove all the eigenvalues of matrix C are real numbers?
  2. jcsd
  3. Dec 18, 2009 #2


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    Now why would you think that's true?
  4. Dec 18, 2009 #3


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    Also note this thread.
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