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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.