Question: Modify the power method so that if finds the smallest eigenvalue and corresponding eigenvector. You do this by evaluating xn+1 = A 1 xn rather

Modify the power method so that if finds the smallest eigenvalue and corresponding eigenvector. You do this by evaluating xn+1 = A −1 xn rather than xn+1 = Axn. When convergence occurs, it is to the eigenvector corresponding to the inverse of the smallest eigenvalue. Demonstrate the validity of your code by running it on a number of test cases.

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