Find a basis and the dimension of the subspace W of P3= {ax3+ bx2 + cx + d} defined byW = {PEP3: p(1) = 0}.a. B= {x2 – x3, x- x³, 2 - x3}, dimension = 3b. none of theseOc. B= {x- 1, x- x2, 1- x2}, dimension= 3O d. B= {x2 – x³, x- x³}, dimension = 2O e. B= {x2 – x3, x- x³, 1- x³}, dimension = 3

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Find a basis and the dimension of the subspace W of P3= {ax3+ bx2 + cx + d} defined by W = {PEP3: p(1) = 0}. O a. B= {x2 – x³, x-x3, 2- x³}, dimension = 3 b. none of these c. B= {x-1, x-x2, 1- x2}, dimension= 3 O d. B= {x2 – x3, x- x³}, dimension=2 O e. B= {x2 - x³3, x- x³, 1- x³}, dimension = 3 е.

Find a basis and the dimension of the subspace W of P3= {ax3+ bx2 + cx + d} defined by W = {PEP3: p(1) = 0}. O a. B= {x2 – x³, x-x3, 2- x³}, dimension = 3 b. none of these c. B= {x-1, x-x2, 1- x2}, dimension= 3 O d. B= {x2 – x3, x- x³}, dimension=2 O e. B= {x2 - x³3, x- x³, 1- x³}, dimension = 3 е.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

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