Lord of the Rings is more popular world wide and has a lot higher fanbase from the great books and Tolkien's ideas are basically the standard for all fantasy video games there are today.
whereas Matrix has created a whole new realm of futuristic thought and really created a great story within itself to relate to the real world and how our world could be or really is. You can't really picture yourself being in Lord of the Rings because it's all fantasy but the Matrix is so realistic that it could possibly happen or BE happening