Deliberate mistake: When Neo and Morpheus are in the construct place (where it is all white), you can see that Morpheus' glasses are a matte grey and then a second later they are totally reflective. [The shot where Morpheus has flat black glasses was shot with a steadycam. A cameraman using a special camera strapped to his body walks in a snaking path from behind Neo, to behind Morpheus. He passes in front of Morpheus at least once. His glasses were painted flat black to prevent the reflection of the steadycam operator showing up on film. At the end of the shot, you can see the back side of the lens. While doing this scene and saying his dialogue, Laurence Fishburne couldn't see anything.]
Deliberate mistake: In the rooftop fight scene where Neo unloads 2 pistols at an agent and misses, you can hear the guns firing from behind, followed by 2 clicks suggesting that the clips are empty. Neo's guns are both semi-automatics and would therefore not click when empty as the slides would be locked back after the final shot. The click sounds were obviously added later to indicate to viewers that his clips were empty.
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.
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