APPM 2360 Midterm: appm2360fall2013exam2_sol
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, and calculators are not permitted. A one page (2 sided, letter sized, handwritten) crib sheet is allowed. 4 1 (a) c t = (cid:18)2 0 0. 0 0 0 2(cid:19) (b) b + c t = (cid:18)3 2 0 (c) |a| = 5det (e) b (cid:18)1 2 0. 4 1(cid:19) = 60 (d) ca is unde ned because the number of columns in c does not match the number of rows. Solution: no, these vectors are linearly dependent since v1 - 2 v2 = v3. Solution: (a) consider the augmented matrix for this system: and start to perform rref: At this point, we can stop as the various cases are apparent. For i), = 1 yields no solution (an inconsistent system). For ii), 6= 1 yield a unique solution.
