12. Consider the following system of linear differential equations: dx = 5 20 dt 93 y dy = 2 7 . dt \"3 y (a) Identify the matrix A and the vector 57' such that this system can be written as :3" = A5. Then show that 1 2i is an eigenvalue of A. (b) Find an eigenvector of A corresponding to A = 1 21'. (c) Determine the general solution to the system of differential equations