Solutions to Second Midterm Exam
MAT 310, Spring 2005
Name:
ID#:
Rec:
problem
1
2
3
4
5
Total
possible
25
25
25
25
25
100
score
Directions:
There are 5 problems on six pages (including this one) in this exam. Make sure
that you have them all. Do all of your work in this exam booklet, and cross out any work
that the grader should ignore. You may use the backs of pages, but indicate what is where
if you expect someone to look at it.
Do any four problems.
Cross out the one you don’t want graded.
You may use any bound books or a calculator to do this exam
.
Using extra
papers, notes, computers, or discussions with friends (or enemies) is not permitted. If you
wish to make use of a time machine to look at the solutions, you may do so provided you
admit such usage below, and then allow me to use it to retroactively change the questions.
Failure to admit such usage of a time machine will be grounds for charges of academic
dishonesty (as is more “ordinary” methods of cheating).
1.
(25 points)
Let
T
∈ L
(
R
2
,
R
2
) satisfy
T
(
1
1
)
=
(
3
7
)
and
T
(

1
1
)
=
(

1
1
)
.
a)
Write a matrix which represents
T
in the standard basis.
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 Spring '10
 aa
 Linear Algebra, Determinant, Vector Space, Complex number

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