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Quiz 2 of Math 571 (Su11)
June 30, 2011
The Ohio State University
This quiz consists of two (2) pages and three (3) problems and is worth a total of 50 points.
The point value of each problem is indicated. You may use MATLAB to aid your calcu
lations.
However, to obtain full credit, you must show the correct answers along with
relevant supporting work and MATLAB functions that you use to justify them.
Partial
credit will be given based on the work that is shown. However,
answers without sufﬁcient
supporting work will receive no credit.
Also, you must complete the exam in 30 minutes.
Good luck!
Name:
Signature:
OSU Internet Username:
1. Let
A
be a
3
×
3
matrix that is equivalent to the identity matrix
I
through the sequence of
elementary row operations:
A
R
1
←
R
1

R
2
→
P
1
A
R
1
←
R
1
/
2
→
P
2
P
1
A
R
3
←
R
3

R
2
→
P
3
P
2
P
1
A
R
2
←
R
2

R
1
→
P
4
P
3
P
2
P
1
A
R
2
←
R
2

R
3
→
P
5
P
4
P
3
P
2
P
1
A
R
2
←
R
2
/
2
→
P
6
P
5
P
4
P
3
P
2
P
1
A
=
I,
where
P
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 Summer '08
 KIM
 Linear Algebra, Algebra, matlab

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