Consider three systems with the following input-output relationships: n odd System 1: y[n] = { 21a,...

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Consider three systems with the following input-output relationships: n odd System 1: y[n] = { 21a, n even z[2), 0, System 2: y[n] = r{n] – 10x[n + 2] + 3x[n – 1] System 3: y[n] = r[3n] The interconnection diagram is at follows: System 1 System 2 System 3 Find the input-output relationship of the interconnected system. State the properties of the system (linear, stable, time invariant, memoryless, and causal). Consider three systems with the following input-output relationships: n odd System 1: y[n] = { 21a, n even z[2), 0, System 2: y[n] = r{n] – 10x[n + 2] + 3x[n – 1] System 3: y[n] = r[3n] The interconnection diagram is at follows: System 1 System 2 System 3 Find the input-output relationship of the interconnected system. State the properties of the system (linear, stable, time invariant, memoryless, and causal).