Problem 3. In parts [aHe ]| determine whether the Statement is true or false, and justify your answer. [a] Every system of differential equations 1" = An has a solution. {b} If 2:" = A: and y' = 213;, then x=y. {o} If as, = A: and yr = Ay, then {cm + dy}'=A{ca: + rig} for all scalars c and d. {d} If A is a square matrix with distinct real eigenvalues, then it is possible to solve :5" = A: by diagonalization. [e } lannd P are similar matrices; then y' 2 Ag and u' = Pt: have the same solutions. Solution