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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 45EQ
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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