Is The Matrix postmodern?

The Matrix is a science fiction film based in a dystopian society. The opening scenes do not initially appear dystopian, they seem to follow the actions of an everyday man. {spoilers}. As the film progresses, we learn that everyone is living in an altered reality, the matrix. Neo, the main character/part time hacker, is eventually aided in escaping the matrix and joins a group of fellow escapees. He learns that the humans were at some point taken over by an artificial intelligence, which began using their body heat for power/energy. Disgusted at these facts, Neo eventually learns that he has special powers inside of the matrix and vows to save mankind from its unknown oppressors.

There are many postmodern aspects of the film. For starters, the idea that everyone is living in an 'unreal-reality' out of their control is highly postmodern. At one point, a character, who knows the truth about the matrix, is being bribed by the villains inside the matrix. They are eating steak at a fancy restaurant. Mid-sentence, he looks down at his steak and begins describing how well his senses interpret the meal. He finishes by remarking that he knows the steak is fake, yet he does not care. 

The film transcribes the postmodern concept that our lives are never truly experienced because our lives are mediated by media into a plot where everyone's lives are controlled by an external force. 

The Matrix does not condone postmodernism; it is in fact intended to inspire against it. It portrays characters truly finding themselves both spiritually and emotionally only after they throw down the chains of a postmodern society.