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Block diagonalization of a matrix

  1. Mar 6, 2015 #1
    Hi. i have a 4x4 matrix
    \begin{pmatrix}
    0 & 1 & 1 & 1\\
    1 & 0 & i & -i\\
    1 & -i & 0 & i\\
    1 & i & -i & 0\\
    \end{pmatrix}
    it has 2 eigenvalues
    and i want to block diagonalize it into a 2x2 block diagonal matrix.
    i cant seem to find the proper way to do that. do i need to have a commuting matrix in order to preform block diagonalization?
    iv'e tried to follow this
    http://en.wikipedia.org/wiki/Jordan_normal_form
    but the square of the matrix gives me the same matrix with a constant factor, so i dont get any new equation for the eigenvectors.
     
  2. jcsd
  3. Mar 11, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Mar 12, 2015 #3

    Stephen Tashi

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