MATH-205 Midterm: Bates MATH 205 041604greer205exam

• School: Bates College
• Department: Mathematics
• Course: MATH-205
• Professor: All

Document Summary

While the nal answer is important, you earn points for all the work leading to that answer, as well as the answer itself. Show all your steps clearly so you will be eligible for the most partial credit. True or false: the set of all linear combinations of v1, v2, . Explain what is wrong with the following discussion: let f (t) = 3 + t and g(t) = 3t + t2, and note that g(t) = tf (t). Then {f , g} is linearly dependent because g is a multiple of f . True or false: if a set contains more vectors than there are entries per vector, then the set is linearly independent. If false: explain why in detail, and/or provide a counterexample, that is, an example to show when the statement is false. 0 1 vectors that span the null space. , nd an explicit description of nul a by listing.