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A linear system is a system such that for any constants <math> a </math> and <math> b </math> on the complex plane, inputs <math> x(t) </math> and <math> y(t) </math> produce the same <math> z(t) </math> no matter which of the following two paths they take through the system: | A linear system is a system such that for any constants <math> a </math> and <math> b </math> on the complex plane, inputs <math> x(t) </math> and <math> y(t) </math> produce the same <math> z(t) </math> no matter which of the following two paths they take through the system: | ||
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[[Image:Partc1_ECE301Fall2008mboutin.JPG]] | [[Image:Partc1_ECE301Fall2008mboutin.JPG]] | ||
Revision as of 15:35, 10 September 2008
Part C: Linearity
A linear system is a system such that for any constants $ a $ and $ b $ on the complex plane, inputs $ x(t) $ and $ y(t) $ produce the same $ z(t) $ no matter which of the following two paths they take through the system:
Path One:
