4) solve the homogeneous system (25 pts ) = 4 x +54 of = - 4x - 4 4 a ) find the characteristic equation b ) solve for the eigenvalues cJ solve for one eigenvector a ) Write the eigenvectoras a sum of 2 vectors ( e.g . , read part +imaginary part ) of Determine the 2 solutions of the system in matrix form f ) Write out the general solution of the system as a linear combination of the 2 solutions