Revision as of 13:21, 12 September 2008 by Jrathrey (Talk)

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.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett