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Princeton University
Department of Mathematics
Name:
Instructor:
Class time:
MAT 202 – Linear Algebra with Applications
MIDTERM – March 15, 2006
•
You have
1 hour and 30 minutes
to complete your work.
•
Please
show all work
and write neatly.
•
Books, notes, calculators, computers are not permitted on this exam.
WRITE OUT AND SIGN THE PLEDGE:
I pledge my honor that I have not violated the Honor Code during this examination.
for the grading
problem
points
score
1
15
2
15
3
20
4
15
5
15
6
20
total
100
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(1) Let
T
:
R
2
→
R
2
be a linear transformation such that
T
±
2
3
²
=
±
1
1
²
and
T
±
1
2
²
=
±
1

1
²
.
(a)
(8 points)
Find the images of the standard basis vectors,
T
(
→
e
1
)
and
T
(
→
e
2
)
.
(b)
(7 points)
Find the matrix of the composition
R
◦
T
where
R
:
R
2
→
R
2
is the counterclockwise
rotation by 90
o
.
(2) Let
A
=
3
1
3
4
1
0
2
1
0
1

3
3
2
0
4
3
.
(a)
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This note was uploaded on 04/28/2008 for the course MAT 202 taught by Professor Staff during the Spring '08 term at Princeton.
 Spring '08
 Staff
 Linear Algebra, Algebra

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