The Matrix really evolved into something else entirely once its two sequels Reloaded and Revolutions completed the trilogy.
But in a nutshell, The Matrix is about a computer programmer named Thomas Anderson (A.K.A. Neo, A.K.A. Keanu freaking Reeves) who finds out that he is living in a manufactured reality created by some machines so they can harvest our lifeblood without us even knowing it.
I mean, that’s not the best synopsis of the movie, but there are whole studies based around the philosophy of The Matrix.
But Mr. Anderson is finally “awoken” by some freedom fighters, led by a man named Morpheus (Laurence Fishburne) who train him to separate The Matrix (the fake world) from reality.