Question

A system is said to be linear if _______

(a) It satisfies only the principle of superposition theorem

(b) It satisfies only amplitude scaling

(c) It satisfies both amplitude scaling and principle of superposition theorem

(d) It satisfies amplitude scaling but not the principle of superposition theorem

I got this question in an interview for internship.

I'm obligated to ask this question of Properties of Systems in division Signals and Systems Basics of Signals and Systems

Answer 1

Correct answer is (c) It satisfies both amplitude scaling and principle of superposition theorem

The explanation is: By the definition of linearity a system is said to be linear if it satisfies the condition y1(t) + y2(t) = ax1(t) + bx2(t).