In linear algebra a projector is a linear map that “squares to itself” in that its composition with itself is again itself: .
A projector leads to a decomposition of the vector space that it acts on into a direct sum of its kernel and its image:
V \simeq ker(e) \oplus im(e)
The notion of projector is the special case of that of idempotent morphism.
Created on November 2, 2012 12:38:19
by Urs Schreiber