Question: Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for the coefficient matrix. A31, = (b) Solve the initial value problem. Give

Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for

Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for the coefficient matrix. A31, = (b) Solve the initial value problem. Give your solution in real form. 21 I2 = An ellipse with clockwise orientation x x' -1- 3x1 + 3x2 -621 - 3x' *1(0) x2(0) = 6 8 and A-31, V = -1+i 1. Use the phase plotter pplane9.m in MATLAB to describe the trajectory.

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