Continuity mistake: In the scene just before the big 100 Agent Smith's fight, we see Neo and the Oracle talking on a bench. In one shot we see that the Oracle has her arm on the bench's back, then in the following shot we see her put her arm down by her side or on her lap, then in the following shot after this its back on the back of the bench. (00:45:10)
Continuity mistake: In the car chase scene, when the black car flips, a bullet spark can be seen on Trinity's car. The only thing wrong about this is that the bullet sparks on the windscreen and leaves it undamaged.
Continuity mistake: When The Architect is talking to Neo, the tie tack he's wearing appears to have fallen out of the left collar (right side on the screen) in one shot. Seconds later, it's back in place.
Continuity mistake: Near the end of the film when we see the Keymaker open the door and Neo kicks Smith to make a gap, if you look where Neo is, there are two Agent Smith's behind him, they are looking towards Neo's direction and pulling there guns out, yet when the shot changes to a close up, the two Agents are facing one another and then pull there guns again. (01:44:10)
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 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 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: On the freeway, the rear lights on Trinity's bike are sometimes on and sometimes off. And, no, they're not brake lights because they're on at the start when she is accelerating away from the lorry that is transporting the bikes. (01:30:35 - 01:31:40)
Continuity mistake: When Neo is fighting the Agent Smiths, he kicks one into a multi-paned window. It is visible in several shots but the hole disappears several times.
Continuity mistake: When Trinity and the Keymaker jump off the truck on the motorbike there is a white car seen just in front of them. In the next shot from behind them driving, the white car has gone. (01:26:50)
Continuity mistake: On the long straight shot of the two trucks driving at each other there is a clear starting/ending position for the busy traffic, followed by empty road.
Continuity mistake: Near the beginning of the freeway chase scene, we see the twins take aim at a gold Chevy SUV. First of all, the first head on view we see of the SUV it has it's Daytime Running Lights on, the next time we see this view they are off. Secondly, one twin shoots out the passenger window and completely shatters it, however after the scene cuts briefly back to the twin it returns to the SUV just as it begins to flip and we see the window shatter yet again. (01:22:05)
Continuity mistake: When Trinity is driving down the freeway, the bullet holes in the right side of the car are not there on several occasions when the car comes into view from behind other vehicles.
Continuity mistake: In the highway scene when Trinity steals the bike from the truck, you can see that the bike's tires are completely clean while the bike is in the air and in the next shot just before the bike touches ground the tires are now all dirty.
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 freeway chase scene, when the agent jumps on the intermediate car, it flips over. During the second slow-mo shot of it tumbling end over end, a bent piece of the bumper can be seen to leap UP from the ground, become un-bent, and attach itself back onto the car. This process is also visible for several other small pieces of debris on the road. It is NOT simply broken glass bouncing upwards - the bent bumper reassembles as it leaps up, and small metal shards suddenly go from motionless to flying towards the car. Broken glass moves as it would be expected to: away. It seems that the glass may have been edited in later.
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)
Continuity mistake: Right before the highway chase scene, when the Key maker says, "Always another way", if you look at his head, he has a full head of hair. When Trinity and the Keymaker jump off the bridge onto the motorcycle truck, you can see the Keymaker has a bald spot and a little less hair.
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.