2. (20 points) Consider the constant-coefficient system x' = Ax, A - 3 (a) Find the eigenvalues and eigenvectors of A. (b) Find the general solution of the system in terms of real-valued functions. (c) Sketch the phase portrait for the system and classify the solution behavior as to its type (e.g. sad- dle, source, etc.) Note: when the eigenvalues and eigenvectors are complex conjugates, it is helpful to plot lines parallel to the real and imaginary parts of the eigenvectors