Determine if the statements are true or false. All vectors and subspaces are in R^n. The Gram-Schmidt process produces from a linearly independent set {x_1, ..., x_p} an orthonormal set {v_1, ..., v_p} with the property that for each k, the vectors v_1, ..., v_k span the same subspace as that spanned by x_1, ..., x_k. If A QR, where Q has orthonormal columns, then R = Q^T A? The orthogonal projection of y onto v Is the same as the orthogonal projection of y onto cv whenever c notequalto 0? If x and y are non zero vectors in R^n, then the orthogonal projection of x onto y ia equal to the vector projection of y onto x