The tutor shows an example of a projection from one dimension into another.
Let’s imagine we have the vector v
which we want to project in the direction of w
The projection matrix, Pw, is given by wwT/wTw:
Now, the projection of v onto w, Pwv, is
Note that P2wv = Pwv:
Note, also, that Pwv has the same proportions as w.
Jack of Oracle Tutoring by Jack and Diane, Cambpell River, BC.