Changing an F3 visa to an E2

I have come to South Korea with my wife who has a teaching job here. I came on an F3 or accompanying spouse visa. As I have the necessary credentials for obtaining a teaching position, I'd like to know if anyone has direct recent experience of changing from an F3 to an E2 visa. Or, can anyone advise how easy or hard it is to do this? I look forward to any responses.