That's actually a recognized thing. Telling people they are wrong causes them to become more firmly sure of their opinion. You cannot change someone's mind (in general) by saying "you're wrong, the right answer is … and here is evidence", it's not possible.
I mean, it is possible, but not likely. I try very hard to be sway-able, for example, and take the truth as my opinion rather than making my opinion the truth, and I'm sure you can find five or more people in this thread alone that think I'm an arrogant tosser who insists on always being right.
Yeah.