what is the answer with steps for all parts? B = (1, x + 1,x² + x) forms an ordered basis for P3. Give the B-coordinate vector of each ofthe following vectors. That is, for each of the following p determine what is [p]å.(a) 2+3x+4x²(b) 5+7x+3x²(c) 1 + x(d) 2 + x

The coordinate vector of v with respect to is given by such that .(a) Given .Comparing the…

Answered: B = (1, x+1, x² + x) forms an ordered…

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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B = (1, x+1, x² + x) forms an ordered basis for P3. Give the B-coordinate vector of each of the following vectors. That is, for each of the following p determine what is [p]. (a) 2+3x+4x² (b) 5+7x+3x² (c) 1 + x (d) 2 + x