Q11Multiple correct3 Marks13 Apr 2025Let V be an inner product space and W be a subspace of V. If P is the projection of V on W, choose the correct option(s).AIf Pv=vPv = vPv=v for some v∈Vv \in Vv∈V, then v∈Wv \in Wv∈W.Bdim(W)\dim(W)dim(W) = dim(W^perp).CIf A is the matrix representation of P with respect to the same basis for both domain and co-domain, then A^2 = A.DSuppose v∈W∩W⊥v \in W \cap W^\perpv∈W∩W⊥, then v=0v = 0v=0.
