)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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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