Continuity mistake: In the scene where Neo converses with the Oracle, there is the shot where Seraph reminds the Oracle that they should leave. Now you see that when the Oracle gets up, Seraph starts checking the area in front of the bench, looking away from Neo and the Oracle. But in the next shot with all three of them in frame, he is looking directly at Neo while the Oracle moves forward to pat Neo in the stomach. (00:50:25)
Other mistake: In the scene where Trinity tries to deactivate alarms in the building she types "disable grid nodes 21-48". Then a warning appears on the screen of her laptop which says: 'Disabling nodes 21-48 will disconnect sector 11 (27 nodes)'. However, because of the fact that nodes 21 and 48 are both included in the range, the total number of nodes to be deactivated is 28 (not 27 as written on the screen). (01:43:50)
Continuity mistake: The wound and the sleeve of the jacket on Trinity's arm changes after she's cut by one of the twins. When she's cut, the wound and rip in the jacket are thin and diagonal. As Morpheus is calling Link, the wound is not really visible and the cut in the jacket is now larger and squarer, and has changed direction on her arm. (01:21:00 - 01:22:50)
Revealing mistake: In the highway chase scene, Trinity, Morpheus, and the Keymaker pull off onto an exit and the twins follow. If you look closely at the exit and the overpass, you can see that it ends after it goes over the highway. The exit/overpass goes nowhere. You can see this during the various shots when Morpheus faces off against the twins and later when Trinity looks back at the overpass from on top of the Ducati carrier.
Revealing mistake: On the freeway chase, when the agent jumps on the bonnet of the car and it flips over, check the underneath. There is no exhaust pipe and a reinforcing frame runs either side of where it should be. (01:23:45)
Continuity mistake: In the rotating shot around the semi-truck, in the freeway scene, the sword that Morpheus stuck in the side earlier (and uses later that scene, so it can't have fallen out) is nowhere to be seen.
Continuity mistake: In the freeway chase, just after the brown 4x4 flips over, one of the twins is shooting at Trinity's car. In a shot from the front his head's well above the sights, and he's spraying bullets around a bit. From behind him, he's holding it tight into his shoulder and keeping his fire in one place. (01:22:15)
Continuity mistake: In the Burly Brawl, when Neo is getting the pole out of the ground, there is a sign behind him on the wall next to the barred windows, but when Neo jumps and spins with the pole, in the background you see that the sign has vanished.
Continuity mistake: When Morpheus rolls out of the way of the Twins' car you can see his smoking, bullet-ridden car in the background. The door's wide open when he rolls, and a split second later when he slashes their car, the door's almost shut. No-one's anywhere near it. (01:25:45)
Continuity mistake: In the freeway chase scene just before the two trucks collide, Morpheus and the Keymaker are at the front of the white truck (you can tell because otherwise you wouldn't be able to see that much of them in the final front shot), but when they're catapulted forward they're right at the back.
Continuity mistake: In the fight scene in the mansion, when Neo stabs the guy's hand with a sai, his hand is in the top part of it, but when the shot cuts his hand's now a) in the bottom half, and b) free of the sai anyway - he's just gripping the sword which is in the bottom half, with nothing trapping him. (01:15:20)
Continuity mistake: In the scene where Trinity is typing the 'disable grid nodes 21 - 48' command, she is pressing random keys rather than the correct sequence. The text already on the screen in the beginning of the next shot is 'disable grid,' but the 'G' key is one of those that have not been pressed, whereas 'H', for obscure reasons, has been. (01:43:35)
Revealing mistake: During the freeway chase there is a shot over the shoulder of one of the twins as he shoots at our hero's car. He rakes his stream of bullets from left to right following the car as it passes behind a white truck - notice, however, that there are already bullet holes in the truck before the stream of bullets ever reaches it. (01:25:45)
Continuity mistake: In the freeway scene, Morpheus fights an agent. Right before Morpheus gets knock off onto Niobe's car, you see Morpheus land and lose his balance on the left side of the back of the truck, but when there is a shot of Morpheus falling off the truck, he is falling off the centre. (01:34:55)
Revealing mistake: When we see the car careen into the side rail of the freeway and flip over, we can see there are skid plates welded to the underside of the engine compartment and under the front suspension. (01:26:00)
Revealing mistake: When the Keymaker closes the door with the Smiths firing at him, if you play it slowly you can see that no bullets actually hit him, as they would have caused bullet holes and blood stains, but his shirt stays perfectly fine right up to when he shuts the door.
Answer: This was made just for the trailers. The same part (without the Matrix code) can be seen when Smith says "suprised to see me?" to which Neo replies "No." and puts on his sunglasses before the Burly Brawl.