Show that this factorization is useful when computing high

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Provide a glimpse of some widely used matrix factorizations, some of which are discussed later in the text.
(Spectral Factorization) Suppose a 3 X 3 matrix A admits a factorization as A = PDP-1, where P is some invertible 3 X 3 matrix and D is the diagonal matrix

Show that this factorization is useful when computing high powers of A. Find fairly simple formulas for A2, A3, and Ak (k a positive integer), using P and the entries in D.

Reference no: EM131075587

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