Problem:
Eigenvector Estimation : Inverse Power Method
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.