Answer
(a) not linear.
(b) linear.
(c) not linear.
Work Step by Step
By comparing the given maps with the general form for a linear map $G(u,v)=(Au+Cv,Bu+Dv)$, we have
(a) $(uv,v)$ is not linear.
(b) $(u+v,u)$ is linear.
(c) $(3,e^u)$ is not linear.