16,w be a vector in Span(v₁, V2, V3) such that= 11, V₂ V2V1 V1w v₁ = -55, w v₂then w =•Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let.=..=46, V3 V3184, w=v1+.=V3= 64,V2+V3.

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Answered: Suppose V1, V2, V3 is an orthogonal set…

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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Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v₁, V2, V3) such that 16, = 11, V₂ V2 46, V3 V3 184, w . V1 V1 w v₁ = -55, w v₂ • then w = = . . = = v1+ . = V3 = 64, V2+ V3.