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Homework Help: Using power method to calculate dominant eigenvalue and eigenvectors

  1. May 23, 2012 #1
    1. The problem statement, all variables and given/known data
    Use the power method to calculate the dominant eigenvalue and its corresponding eigenvectors for the matrices.
    The questions are attached with this thread. I have attempted both and seem to have done the first question correctly. I am attempting the second question and am stuck as after finding one eigenvector I got the same result again. Can anybody help me out with what I have to do here?

    Also, when taking out a value from the matrix, should it be the middle value or the highest value in the matrix?

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. May 23, 2012 #2
    Sounds like you found an eigenvector with eigenvalue 1, congratulations :-)

    But you should probably try another, orthogonal, start vector too to see if there's another larger eigenvalue.
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