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Question 1.
(5 points) Find a basis for the plane 2
x
1
−
x
2
+
x
3
=0in
R
3
.
Question 2.
(5 points) Find
k
so that the matrices
⎛
⎝
120
10
−
2
11
−
1
⎞
⎠
and
⎛
⎝
310
1
−
1
−
4
20
k
⎞
⎠
have the same
image.
Question 3.
(5 points) Let
T
from
R
5
to
R
5
be the orthogonal projection to span
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 Fall '08
 lee
 Matrices

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