For each of the following systems with input xt and output

Question

For each of the following systems with input x(t) and output y(t), state whether or not the system is (i) Linear and (ii) Time Invariant. Note that x(t) could be any complex valued signal.

(a) y(t) = a^2 x(t), where a is a complex number.

(b) y(t) = a x^2(t), where a is a complex number.

(c) y(t) = ax(t) + b, where a and b are complex constants.