Consider the stacked vectors Z = X1 H ,Zn Xn -B Yn = i. Suppose x,...,xn are linearly independent (no assumption is made on y,..., yn). Can we conclude that the vectors z,..., Z, are linearly independent? If yes, pro- vide a proof. If no, give a counterexample. ii. Suppose x,..., X are linearly dependent (no assumption is made on y,..., yn). Can we conclude that the vectors z,..., Zn are linearly dependent? If yes, prove the result. If no, give a counterexample.