=333731:09:25 Ainll üngllIf L: P3→ Pz is a linear transformation defined by £(ax² + bx + c) = (a – c)x + (b + c),then x2 - x + 1 is in Ker(L).{(1,2)", (2,0)",.(0,0)"}is a spanning set for R².alglanll clall

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If L: P3 Pz is a linear transformation defined by £(ax² + bx + c) = (a – c)x + (b + c), 1) %3D then x2 -x + 1 is in Ker(L).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 16EQ

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=33373
1:09:25 Ainll üngll
If L: P3→ Pz is a linear transformation defined by £(ax² + bx + c) = (a – c)x + (b + c),
then x2 - x + 1 is in Ker(L).
{(1,2)", (2,0)",.(0,0)"}is a spanning set for R².
alglanll clall

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