Determine whether b can be written as a linear combination of a₁, a₂, and a3. In other words, determine whether weights X₁, X₂, and X₂ exist, such that x, a₁ + x₂a₂ + x3 = b. Determine the weights X₁, X₂, and x3 if possible. Let a₁ = BH OA. x₁=2, X₂=1, X3 = 2 OB. x1=1, x₂=0, x3 = 1 OC. x₁ = -2, x₂ = -1, x3 = -5 OD. There is no solution. 6 and b= -5
Determine whether b can be written as a linear combination of a₁, a₂, and a3. In other words, determine whether weights X₁, X₂, and X₂ exist, such that x, a₁ + x₂a₂ + x3 = b. Determine the weights X₁, X₂, and x3 if possible. Let a₁ = BH OA. x₁=2, X₂=1, X3 = 2 OB. x1=1, x₂=0, x3 = 1 OC. x₁ = -2, x₂ = -1, x3 = -5 OD. There is no solution. 6 and b= -5
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
![Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights X₁, X₂, and X3
exist, such that x, a₁ +X₂ª₂ +X3ª3 = b. Determine the weights X₁, X₂, and x3 if possible.
·0-0-0
2 a₂
4
1
Let a₁ =
1
-3
O A. x₁ = 2, X₂ = 1, X3 = 2
O B. x₁=1, x₂ = 0, X3 = 1
OC. x₁ = -2, x2 = -1, x3 = -5
O D. There is no solution.
2
6
and b=
3
-5
-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2Fabd1f192-c5c6-47ed-a6f4-137837d91d86%2Fud78nwd_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights X₁, X₂, and X3
exist, such that x, a₁ +X₂ª₂ +X3ª3 = b. Determine the weights X₁, X₂, and x3 if possible.
·0-0-0
2 a₂
4
1
Let a₁ =
1
-3
O A. x₁ = 2, X₂ = 1, X3 = 2
O B. x₁=1, x₂ = 0, X3 = 1
OC. x₁ = -2, x2 = -1, x3 = -5
O D. There is no solution.
2
6
and b=
3
-5
-4
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