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Homework Help: Log of a matrix

  1. Oct 5, 2012 #1
    1. The problem statement, all variables and given/known data

    log of 2x2 matrix [4 3]
    [3 4]
    2. Relevant equations

    e^X= A X= log A

    3. The attempt at a solution

    e^A= Ʃ (A^k)/k!

    then what to do?
  2. jcsd
  3. Oct 5, 2012 #2


    Staff: Mentor

    I'm not sure that what you've done will be much help. Have you learned matrix diagonalization yet? If so, your matrix is diagonalizable. See http://en.wikipedia.org/wiki/Logarithm_of_a_matrix, especially the section titled "Calculating the logarithm of a diagonalizable matrix".
  4. Oct 5, 2012 #3


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    Staff: Mentor

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