In the vector space P2, of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {4₁=1; a=x; a=x²) to the basis B={c₁=2=x; €₂=1+x+6x²,₁ €₂=1+x=2x²} is: OA-1 OB/ 1 ger OD 1 1

In the vector space P2, of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {4₁=1; a=x; a=x²) to the basis B={c₁=2=x; €₂=1+x+6x²,₁ €₂=1+x=2x²} is: OA-1 OB/ 1 ger OD 1 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 23EQ

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Question

In the vector space P2¹
of polynomials of degree atmost two, the third column of the matrix of transition from the basis A = {a₁ = 1; ₁= x; a=x²} to the basis B = {e₁=2−x; e ₂ = ¹ + x + 6x²₁ e ₂=1+x− 2x²} is:
(:)
0
O A./
O B. (2
1
1
O D.
0
-2
19

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