Revision as of 18:08, 10 September 2008 by Nkgentry (Talk)


== Linear system ==
SYSTEM: y = 3x(t) - 10
a.) 1X1(t) --> SYSTEM --> 3Y1(t) - 10
b.) 4X2(t) --> SYSTEM --> 12Y2(t) - 10

We can do the following proof to show that the above system is linear.  Take two random constant numbers such as 9 and 6.  Now multiply the output from "a" by 9.  Then multiply the output from "b" by 6.  Now take their sum. (27Y(t) - 90) + (72Y(t)-60)) = 99Y(t)-150

An example of a linear system is shown below:

x1(t) --> system --> y1(t) 
x2(t) --> system --> y2(t)

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Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin