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Math Help - Eigenvalues and eigenlines/matrices

  1. #1
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    Eigenvalues and eigenlines/matrices

    Please help me!

    (a) Find the eigenvalues and eigenlines of the following matrix A. For each eigenvalue, give an eigenvector with integer components.
    A =
    (b) Express the matrix A in the form , where D is a diagonal matrix. You should evaluate P and .
    (c) Use part (b) to find the matrix .
    (d) Calculate the second and third points of the iteration sequence with recurrence relation = (n = 0,1,2,3...) for each of the following initial points.
    (i) (-2, -4)
    (ii) (0, 1)

    Thanks
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  2. #2
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    Apr 2009
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    The matrix should have read

    A = (-22 12)
    ( -36 20)
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