The length will remain the same, as the projection of the vector v on u is the vector itself.
So I suppose to describe the composition I would just write out the original projection formula?
Sorry, I don't see little boxes. Maybe a computer issue but its just:
ToT (I'm not sure if this is T dot T or if the larger circle represents something else)
Thanks!
Let u (not equal to 0) be a vector in R^2 and let
T: v --> proju(v)
1. Show that T is a linear transformation.
2. Describe the composition T T.
3. If ~u = [1,−1], find the standard matrix for T.
I'm good with 1 and 3, but I'm not sure what 2 is asking. Excuse the poor notation...