In the vector space f, of polynomials of degree at most two, the third column of the matrix of transition from the basis the basis B = {e, =1+2x; e,=x– 3x²; e,=1+x²} A={a, = 1; a,=x; 4,=x²} is: to O A. 1/5 -2/5 -1/5 Oc(-2/5 1/5 -/s E. (o) B. D.

In the vector space f, of polynomials of degree at most two, the third column of the matrix of transition from the basis the basis B = {e, =1+2x; e,=x– 3x²; e,=1+x²} A={a, = 1; a,=x; 4,=x²} is: to O A. 1/5 -2/5 -1/5 Oc(-2/5 1/5 -/s E. (o) B. D.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 8E

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Question

In the vector space f,
of polynomials of degree at most two,
the third column of the matrix of transition from the basis
B={e, =1+ 2x; e,=x- 3x?; e,=1+x²}
A ={a, =1; a,=x; a,=x?} is:
to
the
basis
А.
- 3
1
В.
1/5
-2/5
-1/5
OC(-2/5
1/5
-1/5
Е.
B.
D.
E.

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