Explain why the vectorsU₁ = (3, 8, -8)U₂ = (-12, -32, 32)form a linearly dependent set of vectors in R³. (Solve this problem by inspection.)The given vectors form a linearly dependent set since u₂ = -4 u₁.The given vectors form a linearly dependent set since they are expressible as a linear combination of the standard basisvectors.The given vectors form a linearly dependent set since U₁+U₂ = (-9, -24, 24).The given vectors form a linearly dependent set since any two vectors in R³ form a linearly dependent set.The given vectors form a linearly dependent set since ₁ + U2 = U2+ U1.

Answered: Explain why the vectors U₁=(3, 8, -8)…

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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