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’08 Spring
M340L Homework Problem Partial Answers
Yoonsang Lee(ylee@math.utexas.edu)
April 4, 2008
Note
 I provide answers of some homework problems for reference purpose only. But some
of these are not the full solutions. So, you won’t get a full credit using similar argument like this,
even if you see the same problem. To get a full credit on the exam, you have to show all your
works with explanation.
4.1.6 No, the zero polynomial(the identity) is not in the set.
4.2.2
5
21 19
13 23
2
8
14
1
5

3
2
=
0
0
0
, so
w
is in Nul
A
.
4.2.4
6
1
0
0
,
0
0
0
1
4.2.6

6
2
1
0
0
,
8

1
0
1
0
,

1
0
0
0
1
4.2.34 The kernel of
T
is
{
0
}
.
4.3.2 No, the set is linearly dependent because the zero vector is in the set. The columns of
1 0 0
0 0 1
1 0 0
do not span
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 Spring '08
 PAVLOVIC
 Math, Linear Algebra, Algebra

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