Let E be the standard basis for R³.The set of vectors Bb₂ 0 , b3-{-4-8-5-8)[:] [8]}1]3[2] B=The vector has E coordinates=6₁Express in terms of the ordered basis B.Note: [v] is 3x1.Bis a different ordered basis for R³. The vectors B[x] B==={[4].8}form a basis. Find the B-coordinates of x =[4]

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Answered: Let E be the standard basis for R³.…

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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The coordinate vector of the vector (-4,3,1) in the basis B = {u= (1,1,1); v = (1,0,1); w= (0,0,1) } is: O A. (1,-4,3) OB. (-4,3,1) OC. (3,- 7,5) O D. (2,-1,1)
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Let E be the standard basis for R³. -{*-[B]*-*-} The vector has E coordinates 1 ·1₁ 3 The set of vectors B = b₁ = Express in terms of the ordered basis B. Note: [v] B is 3x1. [2] B = 1 is a different ordered basis for R³.

Let E be the standard basis for R³. -{-[B]-*-} The vector has E coordinates 1 ·1₁ 3 The set of vectors B = b₁ = Express in terms of the ordered basis B. Note: [v] B is 3x1. [2] B = 1 is a different ordered basis for R³.