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ector space of all polynomials of degree

ector space of all polynomials of degree

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 22E
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Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D² : P₁ → P₂ be the linear transformation that takes a polynomial to its second derivative. That is, D²(p(x)) = p'(x) for any polynomial p(x) of degree 4 or less. A basis for the kernel of D² is { A basis for the image of D² is { }. Enter a polynomial or a comma separated list of polynomials. . Enter a polynomial or a comma separated list of polynomials.
Transcribed Image Text:Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D² : P₁ → P₂ be the linear transformation that takes a polynomial to its second derivative. That is, D²(p(x)) = p'(x) for any polynomial p(x) of degree 4 or less. A basis for the kernel of D² is { A basis for the image of D² is { }. Enter a polynomial or a comma separated list of polynomials. . Enter a polynomial or a comma separated list of polynomials.
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