Question 1
Let u1, u2, u3 be vectors in Rm. Prove that if the set {u1, u2, u3} is linearly independent, then so is the set {u1, u2}.
Question 2
True or False: If u1, u2 are linearly independent, then u1, u2, u3 must also be linearly independent. If you say “True”, prove it. If you say “False” give an example which shows that the statement is not always true.