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math 320 --the second midterm Friday April 1st, 2011
 

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 =


  

Source: Angenent, Sigurd - Department of Mathematics, University of Wisconsin at Madison

 

Collections: Mathematics