Consider the following vectors in RS: 3 3 0 6 -3 10 -18 -28 -8 -2 V₁ =-11 V2= 3 V3= 14 V4= -8 V5= 10 -3 3 6 6 -10 -10 3 Find a basis of Span (V1, V2, V3, V4, V5). For convenience, here is the above list of vectors in a form that can be copied into Python code: [3,10,-11,-3,0], [3,-18,3,3,-10], [0,-28,14,6,-10], [6,-8,-8,0,-10], [-3,-2,10,6,3] Hint. Notice that Span (V1, V2, V3, V4, V5) = Col (A) where Col (A) = [V1 V2 V3 V4 V5]. How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter a basis of Span (V1, V2, V3, V4, V5): Consider the following vectors in R6: -8 1 20 8 4 -2 3 V2 V3= -9 -11 3 29 -8 5 9 7 -2 15 7 -1 -5 3 HHH -13 -13 10 5 5 V5 V6= -7 -19 12 18 -2 2 Compute the dimension of Span (V1, V2, V3, V4, V5, V6). For convenience, here is the above list of vectors in a form that can be copied and pasted into Python code: [-8,20,4,-9,29,-3], [1,7,-2,-11, -8,9], [9,8,3,3,5,2], [-2,5,5,-7,12,-2], [-4,15,7,-19,18,2], [-1,-5,3,-13,-13,10] Enter the dimension of Span (V1, V2, V3, V4, V5, V6): Submit
Consider the following vectors in RS: 3 3 0 6 -3 10 -18 -28 -8 -2 V₁ =-11 V2= 3 V3= 14 V4= -8 V5= 10 -3 3 6 6 -10 -10 3 Find a basis of Span (V1, V2, V3, V4, V5). For convenience, here is the above list of vectors in a form that can be copied into Python code: [3,10,-11,-3,0], [3,-18,3,3,-10], [0,-28,14,6,-10], [6,-8,-8,0,-10], [-3,-2,10,6,3] Hint. Notice that Span (V1, V2, V3, V4, V5) = Col (A) where Col (A) = [V1 V2 V3 V4 V5]. How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter a basis of Span (V1, V2, V3, V4, V5): Consider the following vectors in R6: -8 1 20 8 4 -2 3 V2 V3= -9 -11 3 29 -8 5 9 7 -2 15 7 -1 -5 3 HHH -13 -13 10 5 5 V5 V6= -7 -19 12 18 -2 2 Compute the dimension of Span (V1, V2, V3, V4, V5, V6). For convenience, here is the above list of vectors in a form that can be copied and pasted into Python code: [-8,20,4,-9,29,-3], [1,7,-2,-11, -8,9], [9,8,3,3,5,2], [-2,5,5,-7,12,-2], [-4,15,7,-19,18,2], [-1,-5,3,-13,-13,10] Enter the dimension of Span (V1, V2, V3, V4, V5, V6): Submit
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
Help!!! Answer it correctly accurately
![Consider the following vectors in RS:
3
3
0
6
-3
10
-18
-28
-8
-2
V₁ =-11
V2=
3
V3= 14
V4=
-8
V5=
10
-3
3
6
6
-10
-10
3
Find a basis of Span (V1, V2, V3, V4, V5).
For convenience, here is the above list of vectors in a form that can be copied into Python code:
[3,10,-11,-3,0], [3,-18,3,3,-10], [0,-28,14,6,-10], [6,-8,-8,0,-10], [-3,-2,10,6,3]
Hint. Notice that Span (V1, V2, V3, V4, V5) = Col (A) where Col (A) = [V1 V2 V3 V4 V5].
How to enter a set of vectors.
In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want
to enter the set of vectors
then you should do it as follows:
[5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3]
Enter a basis of Span (V1, V2, V3, V4, V5):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4498e0d-5915-421f-a7a7-3ad8a56e2358%2Fc1244423-d08e-4fd9-b314-a48198d756e0%2Ftifwqx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following vectors in RS:
3
3
0
6
-3
10
-18
-28
-8
-2
V₁ =-11
V2=
3
V3= 14
V4=
-8
V5=
10
-3
3
6
6
-10
-10
3
Find a basis of Span (V1, V2, V3, V4, V5).
For convenience, here is the above list of vectors in a form that can be copied into Python code:
[3,10,-11,-3,0], [3,-18,3,3,-10], [0,-28,14,6,-10], [6,-8,-8,0,-10], [-3,-2,10,6,3]
Hint. Notice that Span (V1, V2, V3, V4, V5) = Col (A) where Col (A) = [V1 V2 V3 V4 V5].
How to enter a set of vectors.
In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want
to enter the set of vectors
then you should do it as follows:
[5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3]
Enter a basis of Span (V1, V2, V3, V4, V5):
![Consider the following vectors in R6:
-8
1
20
8
4
-2
3
V2
V3=
-9
-11
3
29
-8
5
9
7
-2
15
7
-1
-5
3
HHH
-13
-13
10
5
5
V5
V6=
-7
-19
12
18
-2
2
Compute the dimension of Span (V1, V2, V3, V4, V5, V6).
For convenience, here is the above list of vectors in a form that can be copied and pasted into Python code:
[-8,20,4,-9,29,-3], [1,7,-2,-11, -8,9], [9,8,3,3,5,2], [-2,5,5,-7,12,-2], [-4,15,7,-19,18,2], [-1,-5,3,-13,-13,10]
Enter the dimension of Span (V1, V2, V3, V4, V5, V6):
Submit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4498e0d-5915-421f-a7a7-3ad8a56e2358%2Fc1244423-d08e-4fd9-b314-a48198d756e0%2Fxy1ifx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following vectors in R6:
-8
1
20
8
4
-2
3
V2
V3=
-9
-11
3
29
-8
5
9
7
-2
15
7
-1
-5
3
HHH
-13
-13
10
5
5
V5
V6=
-7
-19
12
18
-2
2
Compute the dimension of Span (V1, V2, V3, V4, V5, V6).
For convenience, here is the above list of vectors in a form that can be copied and pasted into Python code:
[-8,20,4,-9,29,-3], [1,7,-2,-11, -8,9], [9,8,3,3,5,2], [-2,5,5,-7,12,-2], [-4,15,7,-19,18,2], [-1,-5,3,-13,-13,10]
Enter the dimension of Span (V1, V2, V3, V4, V5, V6):
Submit
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