a3 and b Let a₁ a2 Determine whether b can be written as a linear combination of a₁, 32, and a3. In other words, determine whether weights X₁, X2, and x3 exist, such that x₁ ₁ + x2 ª2 + x3 a3 = b. Determine the weights X₁, X2, and x3 if possible. Law

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let a₁ = 2, 82
| āვ =
and b = 6
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 x₁ a₁ + x₂ a₂ + x3 a3 = b. Determine the weights X1, X2.
and x3 if possible.
Transcribed Image Text:Let a₁ = 2, 82 | āვ = and b = 6 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 x₁ a₁ + x₂ a₂ + x3 a3 = b. Determine the weights X1, X2. and x3 if possible.
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