Quiz 3 of Math 571 (Su11)
July 7, 2011
The Ohio State University
This quiz consists of three (3) 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
calculations.
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
S
=
1
2
3
,
4
5
6
,
7
8
9
⊂
R
3
.
(a)
(13)
Is
1
0
0
∈
Span(
S
)
? Justify your answer.
Solution:
Consider the linear system
c
1
1
2
3
+
c
2
4
5
6
+
c
3
7
8
9
=
1
0
0
4
or
equivalently
1 4 7
2 5 8
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 Summer '08
 KIM
 Linear Algebra, Algebra, matlab, Ohio State University, Row echelon form, ck xk, ck Axk

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