Let A = 1 1 1 1 (a) Apply one iteration of the power method to A with any nonzero

Chapter 7, Problem 1

(choose chapter or problem)

Let A = 1 1 1 1 (a) Apply one iteration of the power method to A with any nonzero starting vector. (b) Apply one iteration of the QR algorithm to A. (c) Determine the exact eigenvalues of A by solving the characteristic equation, and determine the eigenspace corresponding to the largest eigenvalue. Compare your answers with those to parts (a) and (b).

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