Consider the vector v = 1 + 4t in terms of the standard basis for P2, {1, t, t²} and new basisB = {1-2t, 4t+t², 1+2t+3t²}. Find [v]B.

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Answered: Consider the vector v = 1 + 4t in terms…

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: OA (2,-1,1) OB. (3,-7,5) OC. (1,-4,3) OD. (-4,3,1)

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Consider the vector v = 1 + 4t in terms of the standard basis for P2, {1, t, t²} and new basis B = {12t, 4t+t², 1+2t+3t²}. Find [v]B.