Consider the Initial Value Problem X₁ x(t) = dx dt v1 = = -2 -21 22 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. [8] -2 X, x(0) N and A2 = (b) Find the solution to the initial value problem. Give your solution in real form. [18] Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory: An ellipse with clockwise orientation v₂ = 181 1. Describe the trajectory.

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Q: {1+2i, 1– 2i, -3i

A: The solution is given as

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A: (a)

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