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Name
18 March 2010
Teaching Assistant
Test 2
Math 1502 E Andrew
Instructions:
1.
Closed book.
2.
Show your work and explain your answers and reasoning.
3.
Calculators may be used, but are by no means necessary.
Pay particular
attention to instruction 2.
To receive credit, you must show your
work.
Unexplained answers, and answers not supported by the work
you show, will not receive credit.
4.
Express your answers in simplified form.
1.
(25)
a.
Find the matrix
A
for the linear function from
2
R
to
2
R
defined by the
formula
+
=
y
y
x
y
x
F
.
b.
Let
u
be the unit vector
=
5
3
5
4
u
.
Calculate
T
u
u
2
I
H

=
, where
I
is the 2 by
2 identity matrix.
c. Compute
2
H
, where
H
is the matrix from part b.
d.
Find the matrix for the composition of the linear function whose matrix is
H
of
part b, followed by the linear function whose matrix is
A
of part a.
2.
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This note was uploaded on 09/07/2010 for the course CALC 1502 taught by Professor Morley during the Spring '08 term at Georgia Institute of Technology.
 Spring '08
 Morley

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