(Basics of Linearity)
(Basics of Linearity)
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We are given a linear system that behaves as follows,
 
We are given a linear system that behaves as follows,
  
<math> e^(2jt) --> Sys --> t*e^-2jt
+
<math> e^{2jt} --> Sys --> t*e^{-2jt} </math>

Revision as of 08:12, 18 September 2008

Basics of Linearity

Definition of Linearity: For any constants a and b (that are complext numbers), and inputs x1(t) and x2(t) which yield outputs y1(t) and y2(t),

$ a * x1(t) + b * x2(t) ---> Sys ---> a * y1(t) + b * y2(t) $

We are given a linear system that behaves as follows,

$ e^{2jt} --> Sys --> t*e^{-2jt} $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett