MATH 51 MIDTERM 2
November 16, 2000
Brumfiel
Hutchings
Levandosky
Staffilani
White
11:00
01
05
09
13
17
1:15
03
07
11
15
19
Name:
Student ID:
Signature:
Instructions:
Print your name and student ID number and write your signature to indicate
that you accept the honor code. Circle the number of the section for which you are registered
on Infopier.
During the test, you may not use notes, books, or calculators.
Read each
question carefully, and show all your work.
Put a box around your final answer to each
question. You have 90 minutes to do all the problems.
Question
Score
1
2
3
4
5
6
7
8
9
10
Total
1.
(a) Compute the inverse of the matrix
1
3

2
0
2
4
0
0

1
1
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(b) For which value(s) of
x
is the matrix below
not
invertible? Explain your answer.
1
1
1
0
1
2
5
x
6
2.
(a) Suppose
A
=
2
/
3

1
/
3
2
/
3
2
/
3
2
/
3

1
/
3

1
/
3
2
/
3
2
/
3
is the matrix of a linear transformation which is geometrically a 60 degree rotation
about a line
L
in
R
3
. Find the matrix of a 120 degree rotation about
L
. Hint:
Think about composition.
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 '07
 Staff
 Math, Linear Algebra, Algebra, Derivative, Differential Calculus, Linear map, Linear function, linear transformation

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