Continuity mistake: In the beginning, Neo opens the FedEx envelope twice.
Continuity mistake: When Neo is in the helicopter firing the automatic weapon into the building he is moving the gun horizontally. The bullets strike vertically, though, starting from the floor near the window and traveling upwards towards the back wall of the room. There are two shots that show this.
Continuity mistake: In the scene right after Neo steals a man's cellular phone, we see him running down an alley with the back of his shirt untucked from his pants. After cutting back from the agent who's chasing him, we see that Neo's shirt has miraculously tucked itself back into his pants.
Continuity mistake: When Tank comes into Neo's room and talks to him, just before his training, note that there is a rip in Tank's shirt near his right shoulder. Near the end of the scene, the shot changes to Neo, then when it cuts back to Tank, there's no rip. When it cuts to Neo and back to Tank again, the rip is there.
Continuity mistake: Near the end of the movie after agent Smith shoots Neo. Trinity is whispering to Neo, as she leans toward him there is a small strand of hair on Trinity's right temple slowly falling down on her face. The shot changes to Neo's face and back to Trinity where her hair is now perfectly in place and the strand is gone.
Revealing mistake: Near the start, when Trinity runs away from Agent Smith, jumps off the building, crashes through the window, rolls down the stairs and gets out two guns, when she jumps from the building, it is obviously a stunt double.
Other mistake: Neo's phone from Morpheus is delivered by FedEx. But the delivery guy is listed in the credits as the "UPS Man".
Visible crew/equipment: In the final scene where Neo exits from the phone booth and wears his sunglasses some crewmembers are reflected on them.
Continuity mistake: After Neo and Trinity kill all the agents with the helicopter when they rescue Morpheus, you see Morpheus breaking the chain of his handcuffs. He still has the cuffs on his wrists. But then in the next shot of him, the handcuffs are gone.
Character mistake: When Morpheus is explaining to Neo the reason the Matrix exists, he states that a human being gives off 25,000 BTUs of body heat to help power it - this is just not true. Even human beings that are running a marathon can't give off that much heat, and the humans in the Matrix are all lying down, not moving.
Factual error: When Neo was getting shot outside room 303, Smith fires 10 rounds into him. More if you count every time Neo is shaking in the seat as additional shots. The Desert Eagles in the movie are chambered for .50 AE. You can tell this because the barrel isn't fluted. This means it has a 7 round magazine. Agent Smith runs out of ammo in the subway, so it's not like he can hack his gun because of his software.
Continuity mistake: The subway train that "kills" Agent Smith doesn't pull away from the platform. It simply disappears.
Continuity mistake: After Neo gets shot on the rooftop you see a wound on his right shoulder. However when he was fighting Smith in the subway station, it was gone (seen when he is standing up wiping blood from mouth). Then it comes back when he is running from the agents.
Deliberate mistake: When Neo is in the helicopter shooting the agents through the window, watch as one of the agents shoots. He obviously doesn't pull the trigger, because he doesn't move his finger, and there is no recoil, nor a shell ejected. But yet there is a muzzle flash.
Visible crew/equipment: When Smith is interrogating Morpheus in the police building, the two Agents come in. When one of them says, "He doesn't know," the white screen is seen in his glasses.
Factual error: In the "Deja Vu" sequence, when Mouse opens the box containing his Auto Shotguns, they are stored with a few belts of .50-caliber BMG ammunition, which would be useless in a shotgun. Also, despite firing about 20 or more 12-gauge shotgun blasts at the SWATs, he fails to hit anyone, even though that equates to about 240 flying lead pellets.
Revealing mistake: After Morpheus and Neo are loaded into the "Jump Program" you can see the Green Screen on the top right corner of the scene. This appears right before Morpheus jumps across to the other building.
Other mistake: The date of birth shown in Neo's passport is 13th September 1971. The date of birth shown in his security file is 11th March 1962.
Continuity mistake: When Neo is following Morpheus' instruction to escape the agents who have come to arrest him at work, the location of the knot in his tie changes - note the pattern.
Continuity mistake: In the subway fight scene, Neo is thrown to the floor and wipes blood from his mouth on his hand. It then cuts back to Agent Smith. When it cuts back to Neo, he assumes a fighting stance and you can see that there is no blood on either side of his hands.
Answer: He doesn't know that he's plugged into a giant computer and that most of humanity is a power source for robots. He's merely aware that there is something wrong with life in general, something odd that he can't quite explain.
Gary O'Reilly