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

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