Is The #Matrix itself sentient? I do believe so.The reason for this is that when Neo fights Smith in the second movie for the first time, and all the multitude of "Smith's" dogpile upon him, he breaks free and he grabs one of his opponents and throws him into a row of other "Smith's".

In the soundtrack you can clearly hear the sound of bowling pins being knocked down.

Not only is it sentient; it has a sense of humor.