55 complex eigenvalues for linear systems 12 suppose 2 x 2 matrix a ha
Question
5.5 Complex Eigenvalues for Linear Systems \text { 1. } \vec{x}^{\prime}=\left[\begin{array}{rr}
2 & -3 \\
3 & 2
\end{array}\right] \vec{x} (a) Find the general solution. (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability. 1+2. Suppose 2 x 2 matrix A has an eigenvalue v- = [1+i/2i] (a) Find the general solution of 7' = AF. (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability.