Please answer a and b

5. (15 pts) Let 1 2 A = 2 1 (a) Find the fundamental matrix @(t) for the homogeneous system x = Ax with $(0) = 12. (b) Use the method of variation of parameters to find a particular solution to the system pit aC' = Ax + cost Hint: you can use the formulas directly eat eat sin(bt ) dt = a2 + 62 a sin(bt) - bcos(bt) ) + C, eat eat cos (bt) dt = a2 + 62 a cos(bt) + bsin(bt) ) + C