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The equation given below describes the input-output relationship of a system. Please answer the questions about the system accordingly. y (n) = x [n -

The equation given below describes the input-output relationship of a system. Please answer the questions about the system accordingly.

y (n) = x [n - 2] + x [n + 2]

(a) Is the system linear? Explain.
(b) Is the system stable over time? Explain.
(c) Is the system causal? Explain.
(d) Is the system with memory? Explain.

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