Consider the following vectors: = 1 = 2 = 2 3= -18 ܂ ܘ ܘ ܚ ܗ ܒ ܬ ܣ ܣ ܝ ܚ 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 -4 -5 10 -5 b= -2 1 -3 C= 4 9 0 V₁ is a linear combination: V1 = 0 v₂ is not a linear combination v3 is not a linear combination

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
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Linear Algebra "Homogenous Equations"

Consider the following vectors:
a =
V1
V2
||
||
2
2
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
- 18
V3 =
60
-5
10
-5
8
∞ ∞
b
-2
3
-4
1
−1
-3
4
-3
0
v₁ is a linear combination:
V1 = 0
v2 is not a linear combination
v3 is not a linear combination
Transcribed Image Text:Consider the following vectors: a = V1 V2 || || 2 2 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 - 18 V3 = 60 -5 10 -5 8 ∞ ∞ b -2 3 -4 1 −1 -3 4 -3 0 v₁ is a linear combination: V1 = 0 v2 is not a linear combination v3 is not a linear combination
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