Say you have an NFA where the only transitions from the start state are $\epsilon$, when performing an $\epsilon$-closure then you have a state that is completely isolated and I'm not sure if my understanding is correct, because the result doesn't make sense to me. As an example:
| a | b | c | ε | |
|---|---|---|---|---|
| -> A | BC * | |||
| B | B | B | * | |
| C | C | C | * |
Where the $\epsilon$-closure table is:
| $\epsilon$-closure | |
|---|---|
| -> A | ABC * |
| B | B * |
| C | C * |
My understanding then is that after performing an $\epsilon$-closure, we get this NFA
| a | b | c | |
|---|---|---|---|
| -> A | * | ||
| B | B | B | * |
| C | C | C * |