Question: (a) Prove that if |det T| > 1 then the iterative system u(k+l) = T u(k) is unstable. (b) If |det T| < 1 is

(a) Prove that if |det T| > 1 then the iterative system u(k+l) = T u(k) is unstable.
(b) If |det T| < 1 is the system necessarily asymptotically stable? Prove or give a counterexample.

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