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Invertible Systems

A system is invertible if distinct inputs yield distinct outputs.

Invertible System:

y(t) = $ \frac{3*x(t) + 8}{1} $

x(t) = $ \frac{y(t) - 8}{3} $

x(t) -> |Sys 1| -> y(t) -> |Sys 2| -> x(t)

The two equations are inverses of each other.

Noninvertible System:

y(t) = $ t^4 $

x(t) = $ t $ -> |Sys| -> y(t) = $ t^4 $

x(t) = $ -t $ -> |Sys| -> y(t) = $ t^4 $

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood