# Eigenvector Estimation : Inverse Power Method

Please see the attached file for the fully formatted problems.

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.

https://brainmass.com/math/linear-algebra/eigenvector-estimation-inverse-power-method-15415

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#### Solution Summary

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