In Exercises 21 and 22, mark each statement

Chapter 1, Problem 22E

(choose chapter or problem)

Problem 22E

In Exercises 21 and 22, mark each statement True or False. Justify each answer on the basis of a careful reading of the text.

a. If u and v are linearly independent, and if w is in Span {u, v} then {u, v, w} is linearly dependent.

b. If three vectors in ℝ3 lie in the same plane in ℝ3, then they are linearly dependent.

c. If a set contains fewer vectors than there are entries in the vectors, then the set is linearly independent.

d. If a set in ℝn is linearly dependent, then the set contains more than n vectors.