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A continuous time LTI system is invertible only when its inverse exists.

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A continuous time LTI system is invertible only when its inverse exists.

(a) True

(b) False

I got this question in homework.

I'd like to ask this question from Properties of LTI Systems in chapter Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
Right option is (a) True

The best I can explain: Yes, a continuous time LTI system is invertible only when its inverse exists that, when connected in series with the original system produces an output equal to the input to the first system.   Furthermore, if a system is invertible we can say its inverse exists.

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