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Consider the following vectors: 1 a = -3 b = -9 c = 9 -3 -9 8 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. -5 3 -2 8 V2-30 -28 V1 = V3 = 3 1 < Select an answer > Select an answer > v₁ is not a linear combination v₁ is a linear combination: < Select an answer >

Consider the following vectors: 1 a = -3 b = -9 c = 9 -3 -9 8 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. -5 3 -2 8 V2-30 -28 V1 = V3 = 3 1 < Select an answer > Select an answer > v₁ is not a linear combination v₁ is a linear combination: < 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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I am confused on how we determine if it is not a linear combination

 

Consider the following vectors: 1 a = -3 -3 V1 = -2 8 V2-30 -28 1 3 1 = V3 = 3 -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. -5 = -2 9 8 < Select an answer > Select an answer > is not a linear combination V1 V₁ is a linear combination: < Select an answer >
Transcribed Image Text:Consider the following vectors: 1 a = -3 -3 V1 = -2 8 V2-30 -28 1 3 1 = V3 = 3 -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. -5 = -2 9 8 < Select an answer > Select an answer > is not a linear combination V1 V₁ is a linear combination: < Select an answer >
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Step 1: Check for linear combination

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