No.
As someone else posted -- if you are OK with letting him watch six hours of explosions, gore, shootings, bodies...sure, send him.
He's going to plead and whine. Don't cave. You're the adult. If you're not comfortable, he doesn't go. I wouldn't over-talk this with him; just say he can't go and then have something else for your family to do that same evening, so he's not sitting around moping. You're going to be the villain to him. Can you take that?
Please go to www.commonsensemedia.com, which does movie reviews to help parents determine what's in films and whether they're appropriate. On that site, Die Hard is rated for age 15 and up, and The Matrix for 14 and up. You can see more about the specific content of the films as well. Another good source is reviews by Jane Horwitz, who writes "Family Filmgoer" for several newspapers -- search online for the reviews.
But reviews or not -- go with what you think is right.
I think the host kid's parents are either paying zero attention or their son is planning this sleepover and hasn't told them what movies he's got in mind. Either way, I'm not sure that's a family where I'd really want my kid sleeping over.