Allegory Of The Cave & the Matrix

When I reaserached Allegory Of the Cave on wikipedia, I found out this a theory from a Plato the phliosopher. Plato thought that one only knows what he taught. So he made this whole thing about keeping some people in a cave and playing mind tricks with them with imaginary stuff, and then letting them out into the world so they can see real things. In the cave there were chained and faced one way to see no sunlight, but only shadows made by puppets. So when they were out of the cave in the sunlight they found it unusual.
The Matrix showed us the same theory as Plato's. The Matrix made us see that society only tells us what they want us to know and learn. They feel that the more we know the more powerful we will be. And Morpheous in the movie along with his fellow followers felt that way in the movie, so they thought they had to break this. And they started programming their brain to break this shell that the ordinary people were living. They felt they weren't thinking for themselves.
It's the same as Plato was trying to explain. It's true that it's only what they teach us is what we are going to know. For example if i don't get taught how to write i won't know how to read and write.