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nomials (x). That is, D is the derivative operator. Let { 1, x, x², x³}, x. B = C = {1, x, x²}, ctively. Find the matrix [D] for D relative to the basis.

nomials (x). That is, D is the derivative operator. Let { 1, x, x², x³}, x. B = C = {1, x, x²}, ctively. Find the matrix [D] for D relative to the basis.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D : P3 → P₂ be the linear transformation defined by D(p(x)) = p' (x). That is, D is the derivative operator. Let [D] = B с III = = be ordered bases for P3 and P2, respectively. Find the matrix [D]ễ for D relative to the basis B in the domain and C in the codomain. { 1, x, x², x³}, { 1, x, x²}, I
Transcribed Image Text:Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D : P3 → P₂ be the linear transformation defined by D(p(x)) = p' (x). That is, D is the derivative operator. Let [D] = B с III = = be ordered bases for P3 and P2, respectively. Find the matrix [D]ễ for D relative to the basis B in the domain and C in the codomain. { 1, x, x², x³}, { 1, x, x²}, I
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