So I have a point p = (2,-5,1) and it is in a "right handed coordinate system" and I want to convert it into a left handed coordinate system. I tried googling it, but all the results have to do with Unity and I am not tying to program anything, I just want to understand the math behind it.

This is the exact question from the slides. 

"Given a point P = (2,-5,1) in a right handed coordinate system, what is the point is a left handed coordinate system?"