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Determine if b is a linear combination of a₁, a2, and a3. 5 -4, b: 44 11 1 0 -3a₂5 1 0 4 a 2 -3 12

Determine if b is a linear combination of a₁, a2, and a3. 5 -4, b: 44 11 1 0 -3a₂5 1 0 4 a 2 -3 12

Advanced Engineering Mathematics
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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Determine if b is a linear combination of a₁, a₂, and a3. a₁ = 1 - 3 0 a₂= 0 4 Choose the correct answer below. 5 -4 44 2 - 3 12 O A. Vector b is a linear combination of a₁, a2, and a3. 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. B. Vector b is a linear combination of a₁, a2, and a3. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. OC. Vector b is not a linear combination of a₁, a2, and a3. D. Vector b is a linear combination of a₁, a2, and a3. 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.
Transcribed Image Text:Determine if b is a linear combination of a₁, a₂, and a3. a₁ = 1 - 3 0 a₂= 0 4 Choose the correct answer below. 5 -4 44 2 - 3 12 O A. Vector b is a linear combination of a₁, a2, and a3. 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. B. Vector b is a linear combination of a₁, a2, and a3. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. OC. Vector b is not a linear combination of a₁, a2, and a3. D. Vector b is a linear combination of a₁, a2, and a3. 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.
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