When Col. John Matrix with Cooke in the motel, Matrix says the famous phrase: "I eat green berets for breakfast." This was a reference to Sylvester Stallone, who played a Green Beret in the Rambo movies. See more...
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Plot hole: In the beginning of the movie, the other members of the Matrix special forces team are killed in various ways. None of them saw the threat coming, none of them decided to try and fight, the man with the trash even seemed scared when he saw the guns instead of reacting in some way. We are led to believe that Matrix is the only operative in his unit to have never lost his edge.
Factual error: Matrix reads coordinates N33° 13' W117° (or possibly W119°) 18'. Neither LAT or LONG has seconds; just degrees and minutes, but he says, "These coordinates are somewhere near Santa Barbara". Even if you fill in 59" for the latitude north, it's still quite a ways south of Santa Barbara. If you fill in 119° it takes you farther west out to sea: that much further from Santa Barbara. The closest island to those coordinates is San Nicolas Island, and since they did go to an island later, that must have been it. Still a far cry from Santa Barbara. The handwritten coordinates would be much easier to read on Blu Ray.
Factual error: If the access hatch to the nose wheel well on an airliner was opened at any time during the flight, every alarm panel in the cockpit would light up like a Christmas tree. In this case happening within seconds of takeoff the pilot would immediately declare an emergency, turn around and land at the airport he had just left.
Continuity: When Matrix boards the plane towards the beginning of the film, it is early evening - the sun is shown to be low in the sky, casting long shadows. Once he has escaped from the plane and is making his way back across the runways into the airport building, the shadows are smaller and more intense, showing the sun is more directly overhead - therefore it has suddenly become much earlier in the day.
Continuity: In the mall, before the girl enters the bar, a guy in a blue and white shirt is half a metre away from passing next to her. Camera shot on Arnold, then back to the girl, and now the walker, plus the passers by around, have stepped backwards several metres and repeat their movements again.
Factual error: When Cindy first gets into the seaplane, she asks 'where are the LCD readouts? - I learned in a Cessna' as well as saying 'this plane is older than I am.' Any Cessna she learned to fly in would almost certainly be older than her, but even worse, Cessnas used for initial flight training (150s, 152s or 172s) certainly do not have LCD displays.
Continuity: During the long shoot-out at the compound, Arnold shoots down a whole army of bad guys. When he reaches the fountain, he shoots at about 3 or 4 people from a bird's eye view. If you watch closely, you can see one of the guards dive on the ground and play dead before Arnold's stream of bullets reaches him. Given what was happening at the time, that may have not been a bad idea.