Yes, James Cameron gave us Terminator. He co-wrote it with Gale Anne Hurd and William Wisher, Jr.
The Matrix was brought to us by the Wachowski brothers, Larry and Andy.
What I would love to know is who gave their set department the idea to make Neo's passport expire on 9/11/2001!?
Recognize the date? And the movie was released in 1999. How's that for grist for the "Conspiracy Theorists'" mill? America's passport expired on 9/11, so the movie prop was not only quite prophetic, but also intensely symbolic.
What's peculiar is that the prop shows on the screen only for a fraction of a second and upside down. No one would ever read it while watching the movie. Only a movie freak (like me) would ever think to look, but it was someone else's idea that prompted me to check it out. Sure enough, there it was.