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A = [2 0 0 1 1 0 1 2 2] eigen values of A A - lambda I = 0 rightarrow lambda = 2 2 1 2 basis is vector are [1 0 0] (0 0 0) (- 1 1 0) so p = [1 0 0 0 0 0 - 1 1 0] D = [2 0 0 0 2 0 0 0 1] A = P D P^- 1