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Math Help - Matrix converges to infinity

  1. #1
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    Matrix converges to infinity

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    How do I do part (iii)?

    I could do part i and ii, just part iii im stuck.

    Thanks..
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  2. #2
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    if a matrix A is diagonalizable, it means that A = PDP^-1, where D is a diagonal matrix.

    hence A^k = (PDP^-1)^k = P(D^k)P^-1.

    D^k should be easy to compute. can you see that A^k converges if D^k does?
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