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MA 405. Linear Algebra I
Dr. Alina Duca
NC State University
Mathematics Department
Test 2
March 18,2009
NAME (please print legibty):
INSTRUCTIONS:
This is a 50 minutes exam. Show your work and
justify your
steps for full credit. Partial credit will be given for correct work neatly presented.
No texts, notes, or other aids are permitted. Calculators are NOII pennitted. Please
turn off your cellphones.
Pleasecheck that you have all 5 pages. Please be careful not to loosen the staple.
The value of each question is indicated in the lefthand margin beside the statement
of the question. The total value of all questions is 50. Answer all questions on
the exam paper in the space provided beneaththe question.
Question
Points
Score
1
12
2
I2
a
J
10
4
10
5
6
Total:
50
EXAM
QUESTIONS:
[l2]
1. Answer only 3 out of 5. Please circle which parts you vrish to be graded.
(a) If A is a 5 x 5 matrix and NS(A) is the zero subspace, what can you say about solutions of linear systerns
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(b) Construct
a 3 x 4 matrix A such
that dim(NS(A))
:
2 and dim(Cs(,
))
:
2.
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 Spring '08
 STAFF
 Linear Algebra, nonzerovector, Dr. Alina Duca, NC State University Mathematics Department, NOII

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