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Homework Help: Onstruct a 3x3 matrix A that has eigenvalues

  1. Apr 6, 2009 #1
    2. Construct a 3x3 matrix A that has eigenvalues 1, 2, and 4 with the associated eigenvectors [1 1 2]T, [2 1 -2]T and [2 2 1]T, respectively.

    [Hint: use P-1AP = K, where K is the diagonal matrix]

    hlp me... pls guild me to the step reli no idea how to do it
  2. jcsd
  3. Apr 7, 2009 #2


    Staff: Mentor

    P is the matrix whose columns are the eigenvectors you are given, and P-1 is the inverse of this matrix. K is a diagonal matrix whose entries are the eigenvalues. Can you put these ideas together and figure out what A needs to be?
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