11/16/11 - Orthogonal Complements and Orthogonal Projections
Orthogonal Complements
Orthogonal Projections
Let W be a subspace of Rn and let v be a vector in Rn.  Then there are unique vectors w in W and w in W such that v = w + w.
If W is a subspace of Rn, then dim W + dim W = n