"The Matrix is a science fiction action franchise created by Andy and Larry Wachowski and distributed by Warner Bros. Pictures. The series began with the 1999 film The Matrix and later spawned two sequels; The Matrix Reloaded and The Matrix Revolutions, both released in 2003, thus forming a trilogy. The characters and settings of the Matrix fictional universe are further explored in other media, including animation, comic books, and video games.
The series depicts a cyberpunk story incorporating numerous references to philosophical and religious ideas. Other influences include mythology, anime, and Hong Kong action films (particularly "heroic bloodshed" and martial arts movies)."
Source: Wikipedia, "The Matrix (franchise)", available under the CC-BY-SA License.
This setting groups together the various fan-made RPGs that are set in the world of The Matrix films. To date there have been no official tabletop RPGs that develop this campaign setting.
Note that there is no connection with the Matrix in Shadowrun.