Question: Let A be an nxn complex matrix with eigenvalues A, A,..., A, ordered in decreasing order of magnitude, that is, |A| |A| ... |An.

Let A be an nxn complex matrix with eigenvalues A, A,..., A, ordered in decreasing order of magnitude, that is, |A| |A| ... |An. Let v, . . . , ' V be the corresponding eigenvectors. Assume that A = 3, A = 2, A3 = 1, and consider performing the power method on A starting with a vector q which does not depend on the eigenvector vj: TL q=v +v, for some c C, 3 < i

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