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If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not possible, state the reason for that. a) w = (1,1,5), v₁ = (7,7,7), v₂ = (2,5, 3), v3 = (4,1,-1) b) w = (2,-3,2,-3), v₁ = (1,0,0,3), v₂ = (0,1, -2,0), v3 = (0,-1,1,1)

If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not possible, state the reason for that. a) w = (1,1,5), v₁ = (7,7,7), v₂ = (2,5, 3), v3 = (4,1,-1) b) w = (2,-3,2,-3), v₁ = (1,0,0,3), v₂ = (0,1, -2,0), v3 = (0,-1,1,1)

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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If possible , write the vector w as a linear combination of the vectors V₁ , V2 , ... , Vk . If it is not possible , state the reason for that .
If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not possible, state the reason for that. a) w = (1,1,5), v₁ = (7,7,7), v₂ = (2,5, 3), V3 = (4,1,-1) b) w = (2,-3,2,-3), v₁ = (1,0,0,3), v₂ = (0,1, -2,0), v3 = (0,-1,1,1)
Transcribed Image Text:If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not possible, state the reason for that. a) w = (1,1,5), v₁ = (7,7,7), v₂ = (2,5, 3), V3 = (4,1,-1) b) w = (2,-3,2,-3), v₁ = (1,0,0,3), v₂ = (0,1, -2,0), v3 = (0,-1,1,1)
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