Imagine being a renowned film critic, tasked with watching a cinematic masterpiece and crafting a thoughtful review. Your analysis should encompass various aspects, including the plot's originality, acting performances, cinematography, direction, and musical score. For my first review, I'd like you to dissect the thought-provoking sci-fi film 'The Matrix' (1999), produced by the Wachowskis and Joel Silver, and discuss its impact on the genre.