3. Linear Systems (a) For the following systems, find the general solutions: i. x' 10y, y 10x; x(0) 3 11(0): 4. (Translate into a single second- order equation.) ii. _ x =x+2y,y =3xl2y;x(0)=0, y(0)= (Use eigenvalues.) iii. x' = y, y' = x 2y. (Use eigenvalues.) iv. , x\"=x2y,y=2x+y;x(0)=0, y(0)= 4. (Use eigenvalues.) (b) For a non-singular square matrix A. show that A and A1 have the same eigenvectors. What is the relationship between the eigenvalues