Does the Matrix Possibility Even Make Sense?

In The Matrix and Philosophy, page 36, David Mitsuo Nixon discusses if The Matrix can even make sense. After reading his prompt, I agree that in order to have a false belief you must have true beliefs first. In other words, in order to know something is not real, you first must know what is real. Then you can judge what is not. At first I could not see where he was going with it but he quickly cleared up his point with a conversation example between him and Cletus. Cletus states that bears are scary. Nixon asks if it’s because they are so big or because they are furry. Cletus then replies that he was not aware that they were big or furry. At the end of their conversation Cletus concludes that he doesn’t even know what bears look like. Apparently Cletus must have heard from word of mouth that bears are scary, believed it and repeated it. Nixon says “We can’t really make sense of the idea of a person whose beliefs are all or almost all false.” I realize now that what he is trying to say is that Cletus could not have had a false belief that bears are scary without knowing what a bear looks like and what it means to feel scared.
My response to this prompt is that in the Matrix, people are simply living in a false world. They do not know that what they believe is part of a false reality. Whatever they do believe however, is real to them. Referring back to his prompt on page 28, “Do We Really Know Anything” Nixon states, “Notice that the Matrix possibility does not say that I am in the Matrix right now. It just says that it is possible that I am in the Matrix right now.” I feel that this line contradicts the movie because the people living in the Matrix, other than Neo, Morpheus, Trinity and the agents are not aware that where they live is a false world. In conclusion, I agree with his prompt on ‘Does the Matrix Possibility Even Make Sense?” However, I cannot seem to find the connection he tried to make with the Matrix world natives and what they do and do not know!