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I Relationship Between Hermitian and Symmetric Matrices

  1. Oct 27, 2016 #1
    Are All symmetric matrices with real number entires Hermitian? What about the other way around-are all Hermitian matrices symmetric?
     
  2. jcsd
  3. Oct 27, 2016 #2

    PeterDonis

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    What do you get when you take the conjugate transpose of a symmetric matrix with all real entries? Have you tried it?

    Are you this time including Hermitian matrices with complex (nonzero imaginary part) entries?
     
  4. Oct 27, 2016 #3

    fresh_42

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    What is a Hermitian matrix, and what does this mean, if all entries were real?
     
  5. Oct 27, 2016 #4

    PeterDonis

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    Staff: Mentor

    A Hermitian matrix is a matrix that is equal to its conjugate transpose, i.e., ##H = H^{\dagger}##.
     
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