Consider the system of linear ODES The system of equation written as y' (t) = Ay(t), where y(t) = (a) Enter the matrix A in the box below. ab sin (a) 91 (t)=-458 y (t)- 400 y2 (t) + 68 yz (t). 3/2 (t) = 564 y (t) + 494 y2 (t) - 84 v3 (t). dt 1/3 (t)=227 %/1 (t) +206 y2 (t)- 35 v3 (t). (3/1 (1) 32 (t) V3 (t) 3/1 (t)= Ae2t-4 Be-7t-20e6t 3/2 (t)= v3 (t)= 8 8x CY E (b) Given that the matrix A has eigenvectors 000 with respective eigenvalues 2.-7.6. Enter the solution of y2 (t) and y3 (t) in Maple syntax, making sure the answer is consistent with the given form of y (t).