Find the eigenvalues and eigenvectors of the matrix1-221-62-3From smallest to largest, the eigenvalues are A1 < A2

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Answered: Find the eigenvalues and eigenvectors…

Find the eigenvalues and eigenvectors of the matrix -2 2 1 -6 2 -3 From smallest to largest, the eigenvalues are A, < A2 < A3 where -1 has an eigenvector -3 has an eigenvector 3 has an eigenvector 2.

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 17EQ

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Question

Find the eigenvalues and eigenvectors of the matrix
1
-2
2
1
-6
2
-3
From smallest to largest, the eigenvalues are A1 < A2 <d3 where
-1
has an eigenvector
-3
has an eigenvector
3
has an eigenvector
Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
2.
||

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