I don't own any of the individual releases, but I have the Ultimate Matrix Collection (R2). I had heard that the original DVD of 'The Matrix' was cut in R2, but some days ago I read that the film is cut in the Ultimate Collection aswell and it's really bugging me. I've had the set for over 2 years now.
So I was wondering if someone could tell me if the movie is cut in the Ultimate Collection aswell and what has been cut (and how much has been cut)?
Thank you.

Also, I heard that head-butts were removed in the bathroom scene, but at least the version I have, includes them.

Ahh, good to know. Thank you very much.