Importance of transformation order

We can think about performing a multiple transformations in two ways. We can consider fixed or a moving (local) coordinates system. In the first case, the object is transformed itself and the transformation functions are applied in the opposite order compared to how they are written in CSS. In the second case, however, we transform a local coordinates system attached to object and order of transformation is the same as in CSS.
In both cases the end result is of course the same.
Because of my leziness, examples below work fine only in firefox and opera for the moment.