Question: All vectors and subspaces are in Rⁿ. Check the true statements below:

_ A. The orthogonal projection y-hat of y onto a subspace W can sometimes depend on the orthogonal basis for W used to compute y-hat.

_ B. If the columns of an n x p matrix U are orthonormal, then UU^T y is the orthogonal projection of y onto the column space of U.

_ C. For each y and each subspace W, the vector y - proj_W(y) is orthogonal to W.

_ D. If z is orthogonal to u1 and u2 and if W = Span{u1,u2}, then z must be in WÁ

_ E. If y is in a subspace W, then the orthogonal projection of y ontoW is y itself.