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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Assume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A = VAV-1. Also, assume all of the eigenvalues 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
Transcribed Image Text:Assume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A = VAV-1. Also, assume all of the eigenvalues 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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