Consider the following nonhomogeneous system. 1 3 X' = ' - (²³) × + (-²²³²) X 3 1 t + 4 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = -2,4 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) {1,-1} {1,1} K₁ K₂ = = Find the general solution of the given system. 1 3 2 x(t) = C₁ (1,1)e¹¹ + C₂(1, − 1)e¯²¹ + (− ¹ · ³ )² + ( 1 , − ¹ )¹ + (−2, ³1 ) 4' 4 4 4