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Is the system y(t) = Rx(t), where R is a arbitrary constant, a memoryless system?

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in Signals and Systems by (1.2m points)
Is the system y(t) = Rx(t), where R is a arbitrary constant, a memoryless system?

(a) Yes

(b) No

This question was posed to me during an interview for a job.

The origin of the question is Properties of Systems in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct answer is (a) Yes

Explanation: The output of the system depends on the input of the system at the same time instant. Hence, the system has to be memoryless.

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