Homework 3 Ben Horst: A :: B :: C
Formal Definition of Linearity
A system is linear if the following conditions are met:
An input x1 yields output y1.
An input x2 yields output y2.
An input that is the sum of a*x1 and b*x2 yields output that is the sum of a*y1 and b*y2.
a and b are any complex constants.
Formal Definition of Non-Linearity
An input x1 yields output y1.
An input x2 yields output y2.
An input that is the sum of a*x1 and b*x2 yields output that cannot be expressed as the sum of a*y1 and b*y2.
a and b are any complex constants.
