Consider the following homogeneous system of ordinary equations where is a real,

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Consider the following homogeneous system of ordinary equations where is a real, time dependent position vector. The entries of A = correspond to the entries of the following table. Find the eigenvalues and eigenvectors of matrix A. Using Euler's identity and the fact that is real, find the solution vector, , using (0) and the eigenvalues and eigenvectors in 4(a). Plot the time evolution of the vector for t = [ 0;30 ] using MATLAB, or Excel, or any other software you are comfortable with. You might find it helpful to view the following YouTube video. Plotting parametric equations in MATLAB http://www.youtube.com/watch?v=P$e47Q7QLmE

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