The system characterized by the equation y(t) = ax(t) + b is
A. Linear for any value of b
B. Linear if b > 0
C. Linear if b < 0
D. Non-linear
Answer:D
The system characterized by the equation y(t) = ax(t) + b is
A. Linear for any value of b B. Linear if b > 0 C. Linear if b < 0 D. Non-linear
Explanation: The system is non-linear because x(t) = 0 does not lead to y (t) = 0, which is a violation of the principle of homogeneity.