In the vector space P, of polynomials of degree at most two, 2' transition of the matrix from the basis A={a, =1; a,=x;a,=x²} B={e,=1+2x;e,=x- 3x?: e,=1+x*} Is: to the basis

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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In the vector space P, of polynomials of degree at most two,
2'
of
the
matrix
transition
from
the
basis
A={a,=1: a,= x; a,=x²}
B= {e,=1+2x;e,=x – 3x?; e, =1+x²} is:
to
the
basis
%3D
O A. (201
20 1
11 0
0 11
B. None of the choices in this list is correct.
С.
1
1
2
0 -3 1
D.
1 1
0 2 1
10 -3
Е.
1 2
0 1
-3
1 0
1
Transcribed Image Text:In the vector space P, of polynomials of degree at most two, 2' of the matrix transition from the basis A={a,=1: a,= x; a,=x²} B= {e,=1+2x;e,=x – 3x?; e, =1+x²} is: to the basis %3D O A. (201 20 1 11 0 0 11 B. None of the choices in this list is correct. С. 1 1 2 0 -3 1 D. 1 1 0 2 1 10 -3 Е. 1 2 0 1 -3 1 0 1
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