Now, I will not go to this this much detail or that but, what I will try to tell you here looking at that it turns out that, if you have a system here x y and if you have got a another system x 0 y 0 see, if you have got here something as say x 0 y 0 o and you have got x and y and if you have got an angle anlge psi here and if you take any point here it turns out that see, if if this this vector.
let me write in a different angle if this is a vector, this is x on vector, so if you take this vector in this coordinate system or that coordinate system and you call by different name you know x or x 0 or you can call it also x 0 bar, it turns out that the the the coordinates in one is related to the coordinate in other by kind of transformation, that in other words you can say that, X in system one can be related to a a transformation matrix into X 0 in system two.