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    Eigenvector Estimation : Inverse Power Method

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    Use the inverse power method to estimate the eigenvector corresponding to the eigenvalue with smallest absolute value for the matrix
    -1 -2 -1
    A= -2 -4 -3
    2 2 1
    where X0= [1,1,-1].
    In finding A-1 use exact arithmetic with fractions.
    ln applying the power method, calculate each of the next three iterates after Xo correct to 4 significant digits.

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    Solution Summary

    The inverse power method is used to estimate an eigenvector. the solution is detailed and well presented.