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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4100c518-1a8f-4898-88a2-d0f1a7669694%2F0e2b00e0-5daa-4d1d-9c30-38500aee02a5%2Fs05mgm9_processed.jpeg&w=3840&q=75)
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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