Find the eigenvalues of the matrix A. 8 -8 0 0 24 -20 0 0 A = 0 0 12 4 0 0 -8 0 The eigenvalues are A₁ <2 <3 <λ4, where has an eigenvector , №₂ = 9. has an eigenvector 9. √3 = has an eigenvector , λ4= has an eigenvector 9. Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

Find the eigenvalues of the matrix A. 8 -8 0 0 24 -20 0 0 A = 0 0 12 4 0 0 -8 0 The eigenvalues are A₁ <2 <3 <λ4, where has an eigenvector , №₂ = 9. has an eigenvector 9. √3 = has an eigenvector , λ4= has an eigenvector 9. Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 8BEXP

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