ECON 134A Quiz: ECON 134A UCSB Quiz2A 1pmx 2013Fall

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31 Jan 2019
School
Department
Course
Professor
MAT 1341C Test 2, 2011
17-March, 2011.
Instructor: Barry Jessup
Family Name:
First Name:
Student number:
DGD (please circle yours):
#1– 8:30-10, MCD 146
#2– 2:30-4, MRT 250
#3– 2:30-4, CBY B012
For the marker’s use only !
Multiple choice answers !1
2
3
4
5
6
[Bonus] 7
Total
PLEASE READ THESE INSTRUCTIONS CAREFULLY.
1. You have 80 minutes to complete this exam. Read each question carefully.
2. This is a closed book exam, and no notes of any kind are allowed. The use of calculators,
cell phones, pagers or any text storage or communication device is not permitted.
3. Questions 1 to 3 are multiple choice. These questions are worth 1 points each and no part
marks will be given. Please record your answers in the space provided above.
4. Questions 4 – 6 require a complete solution, and are worth 6 points each, so spend your time
accordingly.
5. Question 7 is a bonus question and is worth 4 points. To earn points here will be much more
dicult than in questions 1-6.
6. The correct answer in questions 4–7 requires justification written legibly and
logically: you must convince the marker that you know why your solution is
correct. You must answer these questions in the space provided. Use the backs of
pages if necessary.
7. Where it is possible to check your work, do so.
8. Good luck! Bonne chance!
1
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2
1. Let Abe an 11 ×6 matrix such that Ax = 0 has only the trivial solution x= 0.
What is the rank of A?
Do the columns of Aspan R11?
A. 0, Yes
B. 6, Yes
C. 6, No
D. 8, Yes
E. 8, No
F. 2, Yes
2. For which value of αdoes the vector (2,3,α) belong to the subspace of R3spanned by
(1,0,3) and (3,2,1)?
A. 0
B. 6
B. -6
D. 1
E. -1
F. 1/2
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3
3. If B=
1 1 1
0 1 1
0 0 1
, then the second row of B1is:
A. [1 0 1]
B. [1 1 0]
C. [0 1 1]
D. [0 1 1]
E. [1 1 0]
F. None of the above
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