Ouestion $6$: A discrete$-$time system is represented by the following block diagram:

a$)$ Find the Z$-$transfer function and discuss the system stability, Justify your answer.

b$)$ Find the natural $($i$.$e$.,$ zero$-$input$)$ response given the initial conditions $\backslash ($ y$[0]=2\backslash )$ an

$\backslash [$

y$[1]=1$

$\backslash ]$