How to understand translate matrix translate point from object space to eye space ?

In the example Vertex Transformation,
it said given a point [1.5, 1.6, -99.6, 1.0],and we translate it by
[1.0, 0.00, 0.00, 1.00]
[0.00, 1.0, 0.00, 2.00]
[0.00, 0.00, 1.00, 3.00]
[0.00, 0.00, 0.00, 1.00]
then we get the point [2.5, 3.6, -96.6, 1.0] in the eye sapce.

My puzzle is:

when we tranlate points between different coordiantes ,we should use Transition matrix (this make point change from one coordinate to another)to do calculation.
Here why it just use the translate matrix but not with the Transition matrix ?