Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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