(a) Prove that if |det T| > 1 then the iterative system u(k+l) = T u(k) is...

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(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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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