Revision as of 10:38, 18 September 2008 by Aamber (Talk)

As discussed in class,a system is called linear if for any constants a,b belongs to phi and for anputs x1(t), x2(t) (x1[n],x2[n]) yielding output y1(t) , y2(t) respectively the response to

ax1(t) + bx2(t) is ay1(t)+by2(t).

Consider the following system: $ e^{2jt}\to system\to te^{-2jt} $


         $ e^{-2jt}\to system\to te^{2jt} $

From the given system:

$ x(t)\to system\to tx(-t) $

From Euler's formula $ e^{iy}=cos{y}+isin{y} $

Alumni Liaison

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

Dr. Paul Garrett