Problem $3.(1$ point$)$ Consider a discrete$-$time LTI system whose response to the input x$[$n$]=2(13)$ n$+1$u$[$n$]$ is y$[$n$]=3(12)$ n$+1$u$[$n$]2(23)$ nu$[$n$]($a$)(0\mathrm{.}4$ points$)$ Find the frequency response H$($e j$)$ of this system. $($b$)(0\mathrm{.}4$ points$)$ Determine the system$$s unit impulse response h$[$n$].($c$)(0\mathrm{.}2$ points$)$ Find the difference equation relating the input and the output of this system.