In the vector space of polynomials of degree at most two, coordinates of the vector p(x) =5+x+ 5x² in the basis B={e,=1+x;e,-x+x.e,=2+ x)are:OA (-1,2,3).O B. (5,1,5)-OC (1,5.5)-O D. (3. - 1,2).O E. (5,5,1)

Given p=5+x+5x2and Basis B={e1 =1+x, e2=x+x2 ,e3=2+x}

Answered: In the vector space of polynomials of…

In the vector space of polynomials of degree at most two, coordinates of the vector p()=5+x+5x2 in the basis B are: OA (-1,2,3) OB. (5.1.5) OC (1,5.5) O D. (3. - 1.2) OE (5,5,1)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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Question

In the vector space of polynomials of degree at most two, coordinates of the vector p(x) =5+x+ 5x² in the basis B={e,=1+x;e,-x+x.e,=2+ x)
are:
OA (-1,2,3).
O B. (5,1,5)-
OC (1,5.5)-
O D. (3. - 1,2).
O E. (5,5,1)

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