The matrix 8 -10 A = 10 -2 -10 -7 has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1. The eigenvalue -2 has an associated eigenvector The eigenvalue 3 has an associated eigenvector

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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The matrix
8
-10
A =
10
-2
-10
-7
has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1.
The eigenvalue -2 has an associated eigenvector
The eigenvalue 3 has an associated eigenvector
Transcribed Image Text:The matrix 8 -10 A = 10 -2 -10 -7 has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1. The eigenvalue -2 has an associated eigenvector The eigenvalue 3 has an associated eigenvector
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