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Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix. b. The eigenvectors for the matrix. c. If there are repeated eigenvalues, determine the algebraic multiplicity, geometric multiplicity, and the defect for the repeated eigenvalue. [4 -1 A = 2 L2 1 6 -1 8]

Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix. b. The eigenvectors for the matrix. c. If there are repeated eigenvalues, determine the algebraic multiplicity, geometric multiplicity, and the defect for the repeated eigenvalue. [4 -1 A = 2 L2 1 6 -1 8]

Linear Algebra: A Modern Introduction
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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Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix. b. The eigenvectors for the matrix. c. If there are repeated eigenvalues, determine the algebraic multiplicity, geometric multiplicity, and the defect for the repeated eigenvalue. [4 A = 2 L2 -1 6 1 6 -1 8]
Transcribed Image Text:Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix. b. The eigenvectors for the matrix. c. If there are repeated eigenvalues, determine the algebraic multiplicity, geometric multiplicity, and the defect for the repeated eigenvalue. [4 A = 2 L2 -1 6 1 6 -1 8]
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