In the vector space P, of polynomials of degree at most two, then the first column f the matrix of transition fro the basis B=(e₁=1+x;e₂=x+x²₁; e₂=3+x²) to the basis A=(a₁ = 6 - 2x²; a₂=1+x; a¸=x+x²) is:OA(0O B.(8)OC.1BOD.6B0OE 3

Given that P2 is a vector space containing the polynomials of degree at most 2. B={ e1=1+x,…

Answered: In the vector space P₂ of polynomials…

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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In the vector space P₂ of polynomials of degree at most two,the second column of the matrix of transition from the basis A=(a₁ = 1; a₁ = x; a=x²) to the basis B=(e₁=2+x;e₂=1-x+ 6x²; e₂=1-x-6x² is: OA. 1 1 9 @ -6 OB. 1 OC., (8) O D.

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In the vector space P₂ of polynomials of degree at most two, then the first column f the matrix of transition fro the basis B=(e₁=1+x;e₂=x+x²;e₂=3+x²) to the basis A=(a₁-6-2x²; a₂=1+x; a₂=x+x²) is: OA (0) SOB. OC (1) 0 OD/ 9 0 °C)