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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