Current Score :
29 / 30
Due :
Tuesday, February 21 2017 11:00 PM PST
1.
1/1 points |
Previous Answers
HoltLinAlg1 4.1.003.
Determine if the described set is a subspace. Assume
a
and
b
are real numbers.
The subset of
consisting of vectors of the form
where
If so, give a proof. If not, explain why not.
0+0 doesn't equal 1
R
2
,
a
b
a
+
b
= 1.
The set is a subspace.
The set is not a subspace.
Key:
Answers will vary.
Score:
0 out of 0
Comment:
Solution or Explanation
Not a subspace, because
and thus
0
is not in this set.
UW Common Math 308 Section 4.1 (Homework)
JACOB LEE BERNARDI
Math 308, section L, Winter 2017
Instructor: Harishchandra Ramadas TA
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≠
1,

2.
1/1 points |
Previous Answers
HoltLinAlg1 4.1.006.
Determine if the described set is a subspace. Assume
a
and
b
are real numbers.
The subset of
consisting of vectors of the form
If so, give a proof. If not, explain why not.
0 is in s
u is in s, v is in s, and u+v is in s too
r is in s, u is in s, and ru is in s too
R
4
.
a
a
+
6
a
−
b
9
b
The set is a subspace.
The set is not a subspace.
Key:
Answers will vary.
Score:
0 out of 0
Comment:
Solution or Explanation
Let
S
be the set of vectors of the form
Then
S
= span
and hence
S
is a
subspace.
b
.
a
a
+
b
6
a
−
b
9
b
,
,
1
1
6
0
0
1
−
1
9

3.
0/1 points |
Previous Answers
HoltLinAlg1 4.1.007.
Determine if the described set is a subspace.
Key:
Answers will vary.
Score:
0 out of 0
Comment:
.

4.
1/1 points |
Previous Answers
HoltLinAlg1 4.1.009.
Determine if the described set is a subspace. Assume
a
,
b
, and
c
are real numbers.
The subset of
consisting of vectors of the form
where
If so, give a proof. If not, explain why not.
u=(1,0,1) and v=(1,1,0)
Key:
Answers will vary.
Score:
0 out of 0
Comment:
R
3
,
a
b
c
abc
= 0.
The set is a subspace.
The set is not a subspace.
.
=