Assume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A = VAV-1. Also, assume all of theeigenvalues of A are real and positive where |A1| > |A2| > |A3| > · · · > |An|-2a)Calculate the diagonalization of A - σI.Hint: your answer should involve V, V-¹, A and I

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ssume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A = VAV-¹. Also, assume all of the igenvalues of A are real and positive where |A1| > |A2| > |A3| > · · · > |An |- a) Calculate the diagonalization of A - σI. int: your answer should involve V, V-¹, A and oI

ssume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A = VAV-¹. Also, assume all of the igenvalues of A are real and positive where |A1| > |A2| > |A3| > · · · > |An |- a) Calculate the diagonalization of A - σI. int: your answer should involve V, V-¹, A and oI

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.5: Iterative Methods For Computing Eigenvalues

Problem 22EQ

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