Does the concept of a dead person being able to commit suicide sound illogical or not?

A dead person is obviously incapable of committing suicide because, by definition, they are dead. They're literally incapable of committing suicide so that would sound illogical to most, if not all, people. But does the concept of a dead person being able to commit suicide sound illogical to someone? If you conclude it's illogical, what makes this conclusion come to light?