NC State Universify
Mathematics Deparfment
MA 405. Linear Algebra I
Dr. Alina Duca
Test 1
February 11,2009
5cL
UT1t)5i5
NAME (please print legibly):
INSTRUCTIONS:
This is a 50 minutes exam. Show your work and
justify your
steps
for fuIl credit. Partial credit will be given for correct work neatly presented.
No texts, notes, or other aids are permitted. Calculators are NOT permitted. Please
rurn off your cellphones.
Please check that you have all 6 pages. Please be careful not to loosen the staple.
The value of each question
is indicated in the lefthand margin beside
the statement
ofthe question. The total value ofall questions
is 50.
Answer all questions on the exam paper in the space provided beneath
the ques
tion. If you need more room, I will provide you with more paper where you may
continue your work, but clearly indicate that your work is continued.
Question
Points
Score
8
2
6
3
10
4
10
5
10
6
6
Total:
50
EXAM
QUESTIONS:
t8l
1. In each question circle either TRUE of FALSE. No justification is needed. Answer only 4 out of 6. Please circle
which parts you wish to be graded.
(a) If A is a 4 x 4 matrix, then det(4A)
:
qde(A).

TRTIE
FALSE
\
(b) If ,4 and B are nx
nmaftices,with detA:2
arlddett
3,thendet A+ B:5.
TRUE
FALSE )
(c) Ra is a subspace
of iR5.
TRUE
FALSE
.]
(d) If a linear system has twq different solufions,
it must have
infinitely many solutions.
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 Spring '08
 STAFF
 Linear Algebra, Linear Equations, State Universify Mathematics, Linear AlgebraI FebruarylI,2W9

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