Consider the following vectors: a = 1 V3 = 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. 0 V1 = -3 8 6 V2 11 3 -5 -3 b = -5 c = 2 5 -6 1 1 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following vectors:
1
a = 1
1
ܘ ܗ ܘ܂
V1 = -3
8
6
V2 = 11
3
1
V3 = 1
1
b = -5
3
NY
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.
< Select an answer >
< Select an answer >
< Select an answer >
Transcribed Image Text:Consider the following vectors: 1 a = 1 1 ܘ ܗ ܘ܂ V1 = -3 8 6 V2 = 11 3 1 V3 = 1 1 b = -5 3 NY 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. < Select an answer > < Select an answer > < Select an answer >
a
1
V1-3
8
6
V₂ = 11
3
1
1
V3
b =
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.
0
c = 2
-6
< Select an answer >
<Select an answer >
v₁ is not a linear combination
v₁ is a linear combination:
< Select an answer >
Transcribed Image Text:a 1 V1-3 8 6 V₂ = 11 3 1 1 V3 b = 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. 0 c = 2 -6 < Select an answer > <Select an answer > v₁ is not a linear combination v₁ is a linear combination: < Select an answer >
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