Suppose (0) = 1. Find(l), (10), and u(20) when (a) u(k+1) = 2u(k) (b) u(k+l) = -.9u(k)

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Suppose μ(0) = 1. Find(l), μ(10), and u(20) when
(a) u(k+1) = 2u(k)
(b) u(k+l) = -.9u(k)
(c) u(k+l) = i u(k)
(d) u(k+1) = (1 - 2i) u(k)
Is the system
(i) stable?
(ii) asymptotically stable?
(iii) unstable?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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