Question

Which of the following is not true about invertible systems?

(a) H^-1 H=I

(b) There must be one-to-one mapping between input and output signals for a system to be invertible

(c) Input of the invertible system can be recovered from the system output

(d) Input of the invertible system cannot be recovered from the system output

The question was posed to me in an online quiz.

The doubt is from Properties of Systems topic in division Signals and Systems Basics of Signals and Systems

Answer 1

Right answer is (d) Input of the invertible system cannot be recovered from the system output

The best I can explain: By the definition of invertible system we can say that input of the invertible system can be recovered from the system output.