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The UNIVERSITY of TEXAS at AUSTIN
DEPARTMENT of MATHEMATICS
MATH 340L MIDTERM EXAMINATION 2B
November 10, 2011
INSTRUCTIONS:
1. This exam is 8 pages long. There are 7 questions.
2. All questions must be answered in the space provided. Indicate your answer clearly.
Should you need extra space, ask for paper from the proctor.
3. Show all of your work and explain your answers fully unless directed otherwise. Un
justified, irrelevant, and illegible answers will receive little or no credit.
4. Do not unstaple the exam booklet.
5. One doublesided page of notes is permitted. However, calculators, phones, and other
aids are forbidden.
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Math 340L
Midterm exam 2B
November 10, 2011
1. Determine whether each of the following statements is true or false. You do not need to
justify your answers.
(a) (2 points) Let
A
be an
m
×
n
matrix. Then
dim row(
A
) + dim nul(
A
) =
n.
True
False
(b) (2 points) Let
A
be a 3
×
3 matrix with real entries. Then
A
has at least one real
eigenvalue.
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 Spring '08
 PAVLOVIC
 Department of Mathematics, math 340l, Midterm exam 2B

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