Determine whether b can be written as a linear combination of a₁ and a2. In other words, determine whether weights X₁ and x2 exist, such that x₁a₁ + x2a2 = b. Determine the weights x₁ and x2 if possible. Let a₁ = 1 - 3 a₂ = -6 5 O A. x₁ = -2, x₂ = - 3 O B. x₁ = -2, x₂ = -2 OC. x₁ = -1, x₂ = -4 OD. There is no solution. and b= 8 -17 -6 GIED

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether b can be written as a linear combination of a, and a. In other words, determine whether weights X₁ and x2 exist, such that x₁a₁ + x2a2 = b. Determine
the weights X₁ and x2 if possible.
Let a₁ =
5
1
- 3
a₂ =
- 6
5
4
O A. x₁ = -2, x₂ = - 3
O B. x₁ = -2, x₂ = -2
OC.
x₁-1, x₂ = - 4
D.
There is no solution.
→
and b =
8
- 17
- 6
...
Transcribed Image Text:Determine whether b can be written as a linear combination of a, and a. In other words, determine whether weights X₁ and x2 exist, such that x₁a₁ + x2a2 = b. Determine the weights X₁ and x2 if possible. Let a₁ = 5 1 - 3 a₂ = - 6 5 4 O A. x₁ = -2, x₂ = - 3 O B. x₁ = -2, x₂ = -2 OC. x₁-1, x₂ = - 4 D. There is no solution. → and b = 8 - 17 - 6 ...
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