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1. (a) Determine the characteristic polynomial and eigenvalues for 0. A = |-1 1 -1 3 (b) Determine the eigenspaces corresponding to the eigenvalues of A. (Write them as spans of vectors.) (c) Is A diagonalizable? Explain how you know, based on what you did in (a) and (b).

1. (a) Determine the characteristic polynomial and eigenvalues for 0. A = |-1 1 -1 3 (b) Determine the eigenspaces corresponding to the eigenvalues of A. (Write them as spans of vectors.) (c) Is A diagonalizable? Explain how you know, based on what you did in (a) and (b).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 26EQ
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1. (a) Determine the characteristic polynomial and eigenvalues for 2 0 0 A = -1 1 -1 3 (b) Determine the eigenspaces corresponding to the eigenvalues of A. (Write them as spans of vectors.) (c) Is A diagonalizable? Explain how you know, based o what you did in (a) and (b).
Transcribed Image Text:1. (a) Determine the characteristic polynomial and eigenvalues for 2 0 0 A = -1 1 -1 3 (b) Determine the eigenspaces corresponding to the eigenvalues of A. (Write them as spans of vectors.) (c) Is A diagonalizable? Explain how you know, based o what you did in (a) and (b).
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