We have found that A has two eigenvalues, λ = 6 and λ = 9. It remains to find the eigenspaces that correspond to each of these eigenvalues. Recall that an eigenspace for is the set of all eigenvectors x, such that Ax = 2x.The eigenvalue λ = 6 was found by considering the set of all x =-[x]-Find the spanning set of the eigenspace for λ = 6.spanThe eigenvalue λ = 9 was found by considering the set of all x =[x]Find the spanning set of the eigenspace for λ = 9.spansuch that y = 0.such that x = 0.

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we have found that A has two eigenvalues, The eigenvalue λ = 6 was found by considering the set of all x = Find the spanning set of the eigenspace for λ = 6. span X The eigenvalue λ = 9 was found by considering the set of all x = Find the spanning set of the eigenspace for λ = 9. span remains to find the eigenspaces that correspond to each these eigenvalues. Recall that an eigenspace for [] X , such that y = 0. [x] · , such that x = 0. eigenvectors x,

we have found that A has two eigenvalues, The eigenvalue λ = 6 was found by considering the set of all x = Find the spanning set of the eigenspace for λ = 6. span X The eigenvalue λ = 9 was found by considering the set of all x = Find the spanning set of the eigenspace for λ = 9. span remains to find the eigenspaces that correspond to each these eigenvalues. Recall that an eigenspace for [] X , such that y = 0. [x] · , such that x = 0. eigenvectors x,

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 41EQ

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