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As you can check, the matrix A = 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 and an eigenvalue 3 of multiplicity 2 with eigenvector A scalar multiples of 1 solving (A-31)₂ = ₁. Write v2 below: - A 1 1 -1 but all other eigenvectors for X = 3 are 12 so A has a defect of 1. Find a generalized eigenvector 2 for X = 3 by

As you can check, the matrix A = 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 and an eigenvalue 3 of multiplicity 2 with eigenvector A scalar multiples of 1 solving (A-31)₂ = ₁. Write v2 below: - A 1 1 -1 but all other eigenvectors for X = 3 are 12 so A has a defect of 1. Find a generalized eigenvector 2 for X = 3 by

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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As you can check, the matrix A = and an eigenvalue 3 of multiplicity 2 with eigenvector scalar multiples of 1 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 A A 1 solving (A-31)₂ = ₁. Write ₂ below: - 1 G -1 but all other eigenvectors for λ = 3 are so A has a defect of 1. Find a generalized eigenvector 2 for λ = 3 by
Transcribed Image Text:As you can check, the matrix A = and an eigenvalue 3 of multiplicity 2 with eigenvector scalar multiples of 1 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 A A 1 solving (A-31)₂ = ₁. Write ₂ below: - 1 G -1 but all other eigenvectors for λ = 3 are so A has a defect of 1. Find a generalized eigenvector 2 for λ = 3 by
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