Identify R+1 with the set Pn of polynomials of degree ≤n, via the corre- spondence (any ao) → ant + + a₁t + ao. Let D: P → P be the differentiation operator. Prove D is nilpotent. n n
Identify R+1 with the set Pn of polynomials of degree ≤n, via the corre- spondence (any ao) → ant + + a₁t + ao. Let D: P → P be the differentiation operator. Prove D is nilpotent. n n
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 2E
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