The matrix A= 2 0 -1 4 1 -5 07 0 has eigenvalue A₁ = 1 with eigenvector ₁ = A2 = 2 of multiplicity 2 with eigenvector v2 = 2, so Ag has defect one. Use 2 to make a generalized eigenvector v3: -8. A and eigenvalue . All other eigenvectors for 1 are scalar multiples of
The matrix A= 2 0 -1 4 1 -5 07 0 has eigenvalue A₁ = 1 with eigenvector ₁ = A2 = 2 of multiplicity 2 with eigenvector v2 = 2, so Ag has defect one. Use 2 to make a generalized eigenvector v3: -8. A and eigenvalue . All other eigenvectors for 1 are scalar multiples of
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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Transcribed Image Text:The matrix A=
2 -5 01
0 2 0 has eigenvalue A₁ = 1 with eigenvector ₁
-1 4 1
A2 = 2 of multiplicity 2 with eigenvector 2 =
2, so ₂ has defect one.
Use 2 to make a generalized eigenvector v3:
A
0 and eigenvalue
All other eigenvectors for 1 are scalar multiples of
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