Question: Let 2/3 1/6 1/6 A = 1/6 2/3 1/6 1/6 1/6 2/3 Let P be an orthogonal matrix such that PTAP is a diagonal matrix

Let 2/3 1/6 1/6 A = 1/6 2/3 1/6 1/6 1/6 2/3 Let P be an orthogonal matrix such that PTAP is a diagonal matrix 1/V3 -1/V2 -1/V6 P = 1/V3 1/V2 -1/V6 1/V3 0 2/V6 0 0 PTAP = 0 1/2 0 0 1/2 Your task is to find: a) Find the limit of A" as n - co b) Is it true that for any vector v E R3, the limit of A" v is a vector in the eigenspace of A associated to 1

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