A real 3x3 matrix A has eigenvalues -.5, .2+3i, and .2-.3i, with corresponding eigenvectors v1= 1 -2 1 v2= 1+2i 4i 2 v3= 1-2i -4i 2 a.) is A diagonalizable as A=PDP-1, using complex matrices? b.) Write the general solution of x'=Ax using complex eigenfunctions, and then find the general real solution. c.) Describe the shapes of typical trajectories.