Consider the nonhomogeneous system: a. Write a fundamental matrix for the associated homogeneous system -6 X = b. Compute the inverse of X. X 1 = c. Multiply by the nonhomogenity g(t) and integrate. u(t) = √x−¹(t)g(t) dt = d. Write the general solution to the system. x(t) = c1 9. + C₂ 9. ) a+ 3e3t ( +