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Consider a system with input $x(t)$ and the output $y(t)$ is given by

\[y(t)=x(t)-0.5 x(t-1)-0.5 x(t-2)+1 .\]

The system is

  1. Linear
  2. Non-causal
  3. Time varying
  4. All of the above
  5. None of the above
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