Mark each statement True or False. Justify each answer. a. If is an orthogonal basis for W , then multiplying v3 by a scalar c gives a new orthogonal basis . b. The Gram–Schmidt process produces from a linearly independent set an orthogonal set with the property that for each k, the vectors span the same subspace as that spanned by c. If A = QR, where Q has orthonormal columns, then R = QTA.