Let V be the vector space of all polynomials in the variable x over R. Show that the mappings i)D:V→V defined by D [f (x)] = {S (x)} ii) S: V→ V defined by S[f (x)] = [ƒ (x) dx are linear transformations. %3D
Let V be the vector space of all polynomials in the variable x over R. Show that the mappings i)D:V→V defined by D [f (x)] = {S (x)} ii) S: V→ V defined by S[f (x)] = [ƒ (x) dx are linear transformations. %3D
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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