Section 5.1 p208, Problem 24. Do you think it is
possible to have a vector space with exactly two distinct vectors
in it? Explain your reasoning, which should be conclusive.
Section 5.1 p208, Problem 26. Prove part (d) of Theorem
5.1.1. In other words, prove that (for V a vector space, u
a vector in V, and k a scalar): if ku=0, then k
= 0 or u = 0.