Question: Answer Exercise 9.5.17 when In Exercise 9.5.17 (a) Find an orthogonal matrix Q and a diagonal matrix Î such that K = Q Î QT.

Answer Exercise 9.5.17 when

In Exercise 9.5.17

(a) Find an orthogonal matrix Q and a diagonal matrix Î› such that K = Q Î› QT.
(b) Is K positive definite?
(c) Solve the second order system d2u/t2 = A u subject to the initial conditions

(d) Is your solution periodic? If your answer is "yes", indicate the period.
(e) Is the general solution to the system periodic?

A-E-1-1) 2 2 0 -1 2 103 020 301 du u(0)= | 0 (0) = dt

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