Determine if b is a linear combination of a,, a,, and ag. 4 a, = -2 a, = az = -6 b= - 3 4 Choose the correct answer below. O A. Vector b is a linear combination of a,, a,, and ag. 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. O B. Vector b is not a linear combination of a,, a,, and aą- O C. Vector b is a linear combination of a,, a,, and ag. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. O D. Vector b is a linear combination of a,, a, and az. 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 1CE
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Determine if b is a linear combination of a,, a,, and ag.
4
a, =
- 2
a2 =
1
az =
-6
-3
4
Choose the correct answer below.
O A. Vector b is a linear combination of a,, a, and az. 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.
O B. Vector b is not a linear combination of a,, a,, and az.
O C. Vector b is a linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column.
O D. Vector b is a linear combination of a,, a,, and 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.
Transcribed Image Text:Determine if b is a linear combination of a,, a,, and ag. 4 a, = - 2 a2 = 1 az = -6 -3 4 Choose the correct answer below. O A. Vector b is a linear combination of a,, a, and az. 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. O B. Vector b is not a linear combination of a,, a,, and az. O C. Vector b is a linear combination of a,, a,, and az. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. O D. Vector b is a linear combination of a,, a,, and 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.
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