11. The general solution of the system x' = Ax, where A = 2 2 is ( 2 ) ce- 2 ( )+ cze' ( 1 2 ) ( b ) cier (Sin(21 ) + cze' sin (2t) - cos(2t) ( ) Get ( 6 ) +cze-3 ( ! ) (a)are' ( ? ) + cze- 2 ( 2 ) 12. Given that the matrix A = has the complex eigenvalue ) = -1+i and the corresponding eigenvector v = Iti , a fundamental matrix for the system x' = Ax is X = (a) et - cos(t) - sin(t) cos(t) + sin(t) sin(t) + cos(t) ( b ) et ( - cos(t) - sin (t) cos(t) - sin(t) sin(t) + cos(t) ( c ) et - cos(t) 0 (d) e-t - sin(t) 0 cos(t) sin(t) sin(t) cos(t) 13. The sum of the series 3 . 22+n51-n is n=0 (a) 4 (b) 50 (c) 100 (d) the series does not converge 14. The series n=0 Vn3 +1 (a) converges (b) diverges