Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A= 1-3 4 0 5 3 ,b= -3 9-12 4 -5 -4 Choose the correct answer below. C A. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the third entry in the second column, and the third entry in the third column. OB. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourth column. OC. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. OD. Vector b is not a linear combination of the vectors formed from the columns of the matrix A.

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 42EQ
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Determine if b is a linear combination of the vectors formed from the columns of the matrix A.
A =
1-3
05
-3 9 -12
4
4
3, b= -5
-4
Choose the correct answer below.
OA. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the third
entry in the second column, and the third entry in the third column.
F2
OB. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second
entry in the second column, and the third entry in the fourth column.
OC. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second
entry in the second column, and the third entry in the third column.
D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A.
80
F3
000
000
F4
F5
F6
F7
DII
F8
DD
F9
7
F10
Similar question
F11
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F12
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Transcribed Image Text:Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = 1-3 05 -3 9 -12 4 4 3, b= -5 -4 Choose the correct answer below. OA. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the third entry in the second column, and the third entry in the third column. F2 OB. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourth column. OC. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. 80 F3 000 000 F4 F5 F6 F7 DII F8 DD F9 7 F10 Similar question F11 []))) F12 Next
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