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Is the function y[2n] = x[2n] linear in nature?

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+1 vote
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in Signals and Systems by (1.2m points)
Is the function y[2n] = x[2n] linear in nature?

(a) Yes

(b) No

I had been asked this question in an international level competition.

My doubt is from Discrete-Time Systems in the Time-Domain topic in section Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
The correct answer is (a) Yes

Easiest explanation: The function obeys both additivity and homogeneity properties. Hence, the function is linear.

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