A system may or may not be $($a$)$ memoryless, $($b$)$ time$-$invariant, $($c$)$ linear, $($d$)$ causal, $($e$)$ stable. Determine which of these properties hold and which do not hold for each of the systems whose input$-$output relationships are given below. Justify your answers. In each example x$[$n$]$ the system input and y$[$n$]$ denotes system output. $($i$)$ y$[$n$]=$ Ev$\{$x$[$n $1]\}($where Ev$\{\}$ represents the even part$),($ii$)$ y$[$n$]=$ x$[$n$]$ x$[$n $+1]$ n $0$ n $1,($iii$)$ y$[$n$]=$ x$[2$n$].$