I'm not a parrot, and I'm definitely not your friend, so what the hell do you know?
The movie is chock FULL of symbolism. Some of it you can understand right off the bat if you're familiar with the source material, some if it you might not get until the second or third time around. There are a lot of people who think that the movie is based entirely off of Baudrillard's Simulacra and Simulation, which is in one of the first scenes of the movie (Neo keeps his pirated software in a copy of it). There are a lot of books that the movie borrows heavily from, but the Bible is definitely the most signficant. There are biblical references at almost every single turn in the movie. Take Neo for instance. He is the perfect Messiah figure. His Matrix name is Thomas (an obvious reference to doubting Thomas), and it is not until he dies and is resurrected that he finally becomes who he is meant to be.
Neo, Morpheus and Trinity also form a sort of Holy Trinity. Morpheus is the father, Neo is the son, and if you don't know what Trinity is, don't ask me.
That's not even touching on the symbolism of the actual theme of the movie, which is a much more tricky and subjective area. There are all sorts of smaller touches that you have to really look closely for, like the plaque of the Nebuchadnezzer (it's actually a passage in the bible), or my favorite, the woman who is watching "The Prisoner" when Neo runs through her apartment.
I didn't have to explain any of that, but I decided that I would anyway, just for kicks. You happy now?