b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (-3,9,5). And if so, find the weights C1, C2, and c3 such that u C₁₁ + C₂V₂ + C3V3.

b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (-3,9,5). And if so, find the weights C1, C2, and c3 such that u C₁₁ + C₂V₂ + C3V3.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.1: Vector In R^n

Problem 28E

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Question

please solve it q5,b

b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors
v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (-3,9,5). And if so, find the weights C1, C2, and c3
such that u C₁₁ + C₂V₂ + C3V3.

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