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) + bx2(t) is a'y1(t) + by2(t).
Definition 2
If $ x_1(t) \rightarrow \begin{bmatrix} system \end{bmatrix} $
