Solve step by step in digital format pleaseWe have the following linear transformation T: P₂ (R) -df(0)2f (0)throughT(f) =[de f(3)dz²where f is a polynomial of degree 2find a basis for the kernel of the transformation and give itsdimension0→ M2x2

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 54EQ

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Solve step by step in digital format please We have the following linear transformation T: P₂ (R) - df(0) 2f (0) through T(f) = [ de f(3) dz² where f is a polynomial of degree 2 find a basis for the kernel of the transformation and give its dimension 0 → M2x2