Math 332 – Test 1
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Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit!
1
Please answer the following questions.
A
7
pts
[1]
Let
f
:
X
→
Y
be a function. Using setbuilder notation, deﬁne Range
(
f
).
B
7
pts
[1]
Suppose
V
and
W
are vector spaces with scalar set
F
. Let
f
:
V
→
W
be a function. We say
that
f
is a linear map
or linear transformation
if.
...
C
7
pts
[1]
Suppose
V
and
W
are vector spaces with scalar set
F
. Let
T
:
V
→
W
be a linear map. Deﬁne
Ker(
T
)
using setbuilder notation.
D
7
pts
[1]
Let
V
be a vector space with scalar set
F
. Let
S
=
{
~u
1
,...,~u
n
} ⊂
V
. We say that
S
is
linearly dependent
if.
...
E
7
pts
[1]
Let
V
be a vector space with scalar set
F
. Let
S
=
{
~u
1
,...,~u
n
} ⊂
V
. Carefully deﬁne Span(
S
)
using setbuilder notation.
Dr. Emmert Spring 2010
I of IV
Points Earned
of 35
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View Full DocumentMath 332 – Test 1
2
15
pts
[4]
Please carefully answer
one
of the following
two
statements
A
Grade
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 Spring '11
 KeithEmmert
 Math, Linear Algebra, Vector Space, pts, Dr. Emmert, Dr. Emmert Spring

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