Let T: Pn Pn be a linear transformation such that T(xk) = kxk-1 for k =

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Let T: Pn → Pn be a linear transformation such that T(xk) = kxk-1 for k = 0, 1 , . . . , n. Show that T must be the differential operator D.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:28 AM

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Let T: Pn Pn be a linear transformation such that T(xk) = kxk-1 for k =

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We must show that if px P n then Tpx px Suppo...View the full answer

Linear Algebra A Modern Introduction

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