HW2.C Jayanth Athreya ECE301Fall2008mboutin - Rhea

now If

      X(t)-----> System---->z1(t)$ \times $a---->a.z1(t)
                                                    

      Y(t)-----> System---->z2(t)$ \times $b---->b.z2(t)

                       a.z1(t)+bz2(t)----->Z(t)       equation 1

and

     X(t)$ \times $a----->w1(t).a

     Y(t)$ \times $b----->w2(t).b

now

              w1(t).a+w2(t).b------>System----->W(t)       equation 2

IF eq 1 = eq 2 the system is linear. a,b are complex numbers.