)Let P3 be the vector space of all polynomials of degree 3 or less in the variable z. Let Pi (z) P2(1) = 2-z+z-', 6-3z + 3z- 3r, 2+2-r, Ps (2) PA(z) - 3-z+ 2z- 2r and let C = {pi (2), P2 (2), Pa (2), P4(#)}. a. Use coordinate representations with respect to the basis B = {1, r,r,r} to determine whether the set C forms a basis for Pa. choose b. Find a basis for span(C). Enter a polynomial or a comma separated list of polynomials. } C. The dimension of span(C) is

)Let P3 be the vector space of all polynomials of degree 3 or less in the variable z. Let Pi (z) P2(1) = 2-z+z-', 6-3z + 3z- 3r, 2+2-r, Ps (2) PA(z) - 3-z+ 2z- 2r and let C = {pi (2), P2 (2), Pa (2), P4(#)}. a. Use coordinate representations with respect to the basis B = {1, r,r,r} to determine whether the set C forms a basis for Pa. choose b. Find a basis for span(C). Enter a polynomial or a comma separated list of polynomials. } C. The dimension of span(C) is

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 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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