Question: Section 7.6 Complex Eigenvalues: Problem 4 (1 point) Consider the initial value problem dx dt i 3 x 3 x(0) = (a) Find the eigenvalues

Section 7.6 Complex Eigenvalues: Problem 4 (1 point) Consider the initial value problem dx dt i 3 x 3 x(0) = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 3+i , 01 = , and 12 3-i -1 (b) Solve the initial value problem. Give your solution in real form. x (t) = Use the phase plotter pplane9.m in MATLAB to answer the following question. Spiral, spiraling outward in the counterclockwise direction v 1. Describe the trajectory

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