Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1. Let A = 1 2 4 1 0 0 0-1 3 Answer the following a. Find the characteristic polynomial of A, and use it to find the eigenvalues. b. Find a basis for each eigenspace. c. Use your answer to diagonalize A as PDP-¹. Do not find P-1, instead verify by showing that AP = PD.
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Transcribed Image Text:1. Let A = 1 2 4 1 0 0 0-1 3 Answer the following a. Find the characteristic polynomial of A, and use it to find the eigenvalues. b. Find a basis for each eigenspace. c. Use your answer to diagonalize A as PDP-¹. Do not find P-1, instead verify by showing that AP = PD.
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