onsider the following. (A computer algebra system is recommended.) x' = (3 2 -2 -2) x (a) Find the general solution to the given system of equations. x (t) = C_1 (1, 1) e^-t + C_2 (1, -1) e^2t Describe the behavior of the solution as t rightarrow infinity. The solution tends to the origin if the initial condition is a multiple of (1 2), and diverges to infinity otherwise. The solution diverges to infinity for all initial conditions. The solution tends to the origin if the initial condition is a multiple of (1 -1), and diverges to infinity otherwise. The solution tends to the origin If the Initial condition is a multiple of (2 1), and diverges to infinity otherwise. The solution converges to the origin for all Initial conditions.