The following input-output pairs have been observed during the operation of a time-invariant system: x1(n) =...

 

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The following input-output pairs have been observed during the operation of a time-invariant system: x1(n) = {1,0, 2} → t. yi (n) = {0, 1, 2} x2(n) = {0, 0, 3} y2 (n) = (0, 1,0, 2} x3(n) = {0,0, 0, 1} <→ y3(n) = {1, 2, 1) Can you draw any conclusions regarding the linearity of the system. What is the impulse response of the system? The following input-output pairs have been observed during the operation of a time-invariant system: x1(n) = {1,0, 2} → t. yi (n) = {0, 1, 2} x2(n) = {0, 0, 3} y2 (n) = (0, 1,0, 2} x3(n) = {0,0, 0, 1} <→ y3(n) = {1, 2, 1) Can you draw any conclusions regarding the linearity of the system. What is the impulse response of the system?