Given an orthonormal basis of R³ : {V1, V2, V3} ==2-17of the following are the coefficients C₁, C₂ and C3?u=OOC₁ = 0, C₂ =C₁ =C₁ = √√C₂C1 =is expressed as a linear combination u = C₁ V₁ + C₂ V2 + C3 V3 then which one√2,02=1₁€33, C₂ =₁3-1₂ C₂ =1, C3 =√3, C3==11/613√6If11√6

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Answered: Given an orthonormal basis of R³ : {V1,…

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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V has bases B 2v1 + 5v2 + bv3, W3 = v1 + v2 + 5v3. (v1, v2, V3) and B' = (w1, w2, w3). If wi vi + 2v2 + 4v3, W2 = Determine the change of basis matrices, PgB and Pg¬B'-
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10
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The third column of the change of basis matrix from the basis B= {u=(1,1,1) ; v= (1,0,1); w=(0,1,1 } to the basis B'= {r= (3,4,1); s= (3,0,1); t=(-4, -1, -2) is:
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