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Whole

Partial

P$.1$ Determine whether the DT system $y[n]=0\mathrm{.}5x[6n-2]+0\mathrm{.}5x[6n+2]$ is

$($a$)$ linear

$($b$)$ time$-$invariant

$($c$)$ BIBO stable

$($d$)$ causal.

Justify your answers.