Strictly logically it is a possible we are living in the Matrix, and we can "imagine" such situation. and keep this picture
A "picture” in mind while trying to understand the kind deception and situation this website is about in the world we live in.
Now imagine as a second step that this "matrix" would conduct a secret experiment, interfere with humanity tried to manipulate unnoticed (a part of) history.
Imagine the deception used to maintain the secrecy and hide the matrix, to go unnoticed as long as possible in order to manipulate as much and as long as possible humanity without anybody would realize (or believe) it.
If you can imagine this situation, apply it to our present world. Now you know what kind of situation I am trying to explain to be a real one and the matrix would be an "intelligent" computer program and technology connected as a network with every aspect of reality.
No matter if our world would be virtual, and the matrix interact as aberrations of the program, (like in the movie) or if the world would be real and invisible technology would interact as x-factor but remotely the same way, as secret and hidden part of reality.