Problem 4
A linear is system is a system that given two valid inputs:
- $ x_1(t) $
- $ x_2(t) $
with respective outputs:
- $ y_1(t) = H [ x_1(t) ] $
- $ y_2(t) = H [ x_2(t) ] $
will satisfy the equation
- $ \alpha y_1(t) + \beta y_2(t) = H [ \alpha x_1(t) + \beta x_2(t) ] $
for any $ \alpha $ and $ \beta $.
