In the vector space P, of polynomials of degree at most two, the coordinates of the vector P(x)=4+3x+5x2 in the basis B=(,=1+2t, e,=x- 3x2, e,=1+x?} are: OA(0,- 3,1) OB (1,0,1) OC(-I,2,2): OD. (4,3,5) OE (2,-1,2)-

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Question 33
In the vector space P,, of polynomials of degree at most two, the coordinates of the vector
P(x) =4+3x+5x2 in the basis
2'
B= (e,=1+2r, e,=x- 3x², e̟=1+x?} are:
%3D
%3D
%3D
OA (0,-3,1)
O B. (1,0,1)
OC(-1,2,2)
OD. (4,3,5)
OE. (2, - 1,2)-
Transcribed Image Text:Question 33 In the vector space P,, of polynomials of degree at most two, the coordinates of the vector P(x) =4+3x+5x2 in the basis 2' B= (e,=1+2r, e,=x- 3x², e̟=1+x?} are: %3D %3D %3D OA (0,-3,1) O B. (1,0,1) OC(-1,2,2) OD. (4,3,5) OE. (2, - 1,2)-
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