See image for wuestion LetA =-1(a) Find the characteristic polynomial and the eigenvalues of A over the complex numbers.(b) Find a basis of the eigenspace of one of the eigenvalues of A over the complex numbers.(c) Without any more computation, determine a basis for the eigenspace of the other eigenvalue ofA over the complex numbers. Explain briefly how you determined your answer.(d) Find a matrix P and a matrix D such that P-¹AP=D. [Hint: you do not have to computeP¹. Note that you can check your work by checking AP = PD.]

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Answered: Let A = -1 (a) Find the characteristic…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 38EQ

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please send handwritten solution for part a b c Q10
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