All vectors and subspaces are inRⁿ. Justify each answer.

(T/F) The Gram-Schmidt process produces from a linearly independent set {x₁,..., x_p} an orthogonal set {v₁,..., v_p} with the property that for each k, the vectors v₁,...,v_k span the same subspace as that spanned by x₁,..., x_k.