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Linearity

There are three definitions we discussed in class for linearity.

Definition 1

A system is called linear if for any constants $ a,b\in $  all complex numbers and for any input signals x1(t),x2(t) with response y1(t),y2(t), respectively, the system's response to a'x1(t) + b'x2(t) is a'y1(t) + b'y2(t).

Definition 2

If $ x_1(t) \rightarrow $

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