Question

Checking the linearity of a system, the first thing we need to check is whether the system is __________

(a) Homogeneous or not

(b) Consistent or not

(c) Superposition

(d) Depends on the representation of the system

This question was posed to me in unit test.

This interesting question is from Linear Systems topic in section Beyond the Basics of MATLAB

Answer 1

Right option is (d) Depends on the representation of the system

For explanation I would say: First we need to check if the system is represented by a set of equations or it is represented in terms of signals. If it is represented by a set of equation, we need to go for homogeneity first. If it is represented by the observation of input-output signals, we need to go by Superposition.