6. For systems: y(n) = T[x[n]] = x(n²), determine whether the system is (1) stable, (2) causal, (3) linear, (4) time invariant, and (5) memoryless. Explain your answer. (Note that an answer must have a valid explanation)
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A system is considered stable if the output remains bounded for any bounded input. In this case, since the output y(n) is equal to the input x(n), and x(n) is bounded, the output y(n) will also be bounded. Show more…
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