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 B {1, æ, æ?, æ³}, C {-1+x +x?,1 – æ², x²}, be ordered bases for P3 and P2, respectively. Find the matrix [D]% for D relative to the basis B in the domain and C in the codomain. (DE =
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 B {1, æ, æ?, æ³}, C {-1+x +x?,1 – æ², x²}, be ordered bases for P3 and P2, respectively. Find the matrix [D]% for D relative to the basis B in the domain and C in the codomain. (DE =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 16RQ
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