The matrices in Exercises 2124 either are not diagonalizable or do not have a dominant

Chapter 4, Problem 4.5.21

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The matrices in Exercises 2124 either are not diagonalizable or do not have a dominant eigenvalue (or both). Apply the power method anyway with the given initial vector x0 , performing eight iterations in each case. Compute the exact eigenvalues and eigenvectors and explain what is happening.

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