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5. Find value of both states as a function of time analytically by first determining the system's eigenvalues and eigenvectors. z= 1 2 3

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5. Find value of both states as a function of time analytically by first determining the system's eigenvalues and eigenvectors. z= 1 2 3 2 0 Z z(0) = After finding the analytical solution, create a phase plot for the system using ODE45 () for the set of initial conditions z(0)= [-3:1:3] and z2(0)= [-3:1:3] (check for every combination of the initial conditions). From this graph (or a similar one with more illustrative initial conditions), what is the relationship between the eigenvectors and the phase portrait? (Note: you may have to experiment with various durations of time (including short durations) in order to produce the most visually insightful phase portraits.)

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