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.
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The solution is attached below in teo files.
The files are different only in their format. One is in Acrobat pdf format while the other is a MS-Word 2000 document.
However before you look at the solution, you might want to work the problem using the following steps:
1. Claculate the ...
The inverse power method is used to estimate an eigenvector. the solution is detailed and well presented.