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1-3 -3 3 A=-2-46 -2-68

1-3 -3 3 A=-2-46 -2-68

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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5. Determine a complete set of eigenvectors for the given matrix A. Construct a matrix S that diagonalizes A and explicitly verify that S-¹AS = diag(A1, A2, ..., An). 3 -2 3 1 -3 3 -2 3 -2 3 A = -2 -4 6 A = 3 -2 -2 -2 3 -2 3 -2 3
Transcribed Image Text:5. Determine a complete set of eigenvectors for the given matrix A. Construct a matrix S that diagonalizes A and explicitly verify that S-¹AS = diag(A1, A2, ..., An). 3 -2 3 1 -3 3 -2 3 -2 3 A = -2 -4 6 A = 3 -2 -2 -2 3 -2 3 -2 3
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