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)
Are the vectors Choose 4 1 03 + 3 If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. || 2 and linearly independent? 5 4 + 3 2 +
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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.