12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000
12 1 -1 1 0 2 2 -2 20 4 3 -3 3 0 6 Let A = -4 4 40-8 5 -5 5 0 10 6 -660 8 Which one of the following is NOT true about Col(A)? Select one alternative: Col(A) is a vector space of dimension 3 Col(A) is a subspace of R Col(A) is the span of Col(A) is the span of 123 -4 5 6 -2 2 -3 3 4 -5 5 2 3 -4 4 5 5 6 123 , which row reduces to 2 H N 246 -8 10 8 6 -8 10 8 [1 0 0 0 0 [0 -1 0 0 0 0 1 0 0 0 0 0 1 0 000 0 000 0 000
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Transcribed Image Text:12
1
-1 1 0
2
2
-2 20
4
3
-3
3 0
6
Let A =
-4
4
40-8
5
-5
5 0 10
6 -660 8
Which one of the following is NOT true about Col(A)?
Select one alternative:
Col(A) is a vector space of dimension 3
Col(A) is a subspace of R
Col(A) is the span of
Col(A) is the span of
123
-4
5
6
-2
2
-3 3
4
-5
5
2
3
-4 4
5
5
6
123
, which row reduces to
2
H
N
246
-8
10
8
6
-8
10
8
[1
0
0
0
0
[0
-1 0 0 0
0 1 0 0
0
0 0 1
0
000
0
000
0
000
Transcribed Image Text:Suppose W is a 4-dimensional vector space. Assume the set B = {V1, V2, V3, V4} is a basis of
W.
Which of the following statements are always true?
Statement A: The subset {V1, V2, V3} of B is a linearly independent set.
Statement B: The set (v1, V2, V3} spans W.
Select one alternative:
A only
Both A and B
B only
Neither A nor B
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