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Consider the following vectors: 2 a = 1 -2 V1-5 2 -8 -6 V2 = 5 17 -2 V3 11 14 b = 0 9 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. -8 v₁ is not a linear combination 2 c = -5 -8 v₂ is a linear combination: V2 = 0 < Select an answer >

Consider the following vectors: 2 a = 1 -2 V1-5 2 -8 -6 V2 = 5 17 -2 V3 11 14 b = 0 9 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. -8 v₁ is not a linear combination 2 c = -5 -8 v₂ is a linear combination: V2 = 0 < Select an answer >

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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Consider the following vectors: 2 a = 1 -2 V1-5 2 -8 -6 V2 = 5 17 -2 V3 11 14 b = 0 9 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. -8 v₁ is not a linear combination 2 c = -5 -8 v₂ is a linear combination: V2 = 0 < Select an answer >
Transcribed Image Text:Consider the following vectors: 2 a = 1 -2 V1-5 2 -8 -6 V2 = 5 17 -2 V3 11 14 b = 0 9 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. -8 v₁ is not a linear combination 2 c = -5 -8 v₂ is a linear combination: V2 = 0 < Select an answer >
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