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Given that the matrix A = 3 24 20 2 has 4 2 3 2 one eigenvalue À = 8 with eigenvector 1 and 2 one eigenvalue A = -1 with linearly independent eigenvectors -2 8-6 2 and 0 2 Iho thoroppo holow and tyno huo matrices Dand D lone on each

Given that the matrix A = 3 24 20 2 has 4 2 3 2 one eigenvalue À = 8 with eigenvector 1 and 2 one eigenvalue A = -1 with linearly independent eigenvectors -2 8-6 2 and 0 2 Iho thoroppo holow and tyno huo matrices Dand D lone on each

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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Given that the matrix 3 A = 2 24 02 has 4 2 3 one eigenvalue A = 8 with eigenvector 2 1- and one eigenvalue λ = −1 with linearly independent eigenvectors −2 H 2 2 and 0 Use the space below and type two matrices P and D (one on each line) so that A = PDP-¹ (a diagonalization of the matrix A).
Transcribed Image Text:Given that the matrix 3 A = 2 24 02 has 4 2 3 one eigenvalue A = 8 with eigenvector 2 1- and one eigenvalue λ = −1 with linearly independent eigenvectors −2 H 2 2 and 0 Use the space below and type two matrices P and D (one on each line) so that A = PDP-¹ (a diagonalization of the matrix A).
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