Consider s system S with input x[n] and output y[n]. This system is obtained through a s...

Consider s system S with input x[n] and output y[n]. This system is obtained through a series interconnection of a system S₁ followed by a system S_2. The input-output relationships for S₁ and S₂ are

Where x₁ [n] and x₂ [n] denote input signals.

(a) Determine the input-output relationship for system S.

(b) Does the input-output relationship of system S change if the order in which S₁ and S₂ are connected in series is reversed (i.e., if S₂ follows S₁)