 
Summary: math 320  the second midterm
Friday April 1st, 2011
1. (a) [5 points ] Complete the sentence:
· According to the definition, the vectors {v1, v2, ..., vn} are linearly independent if...
the only solution to c1v1 + · · · + cnvn = 0 is c1 = c2 = · · · = cn = 0.
(b) [5 points ] Complete the sentence:
· Suppose L is a linear subspace of Rk and suppose v1, . . . , vn are vectors belonging to L. According to the
definition a set of vectors {v1, · · · , vn} span L if...
every vector in L is a linear combination of v1, ..., vn.
(c) [5 points] Are the vectors
u =
1
11
1
, v =
