From smallest to largest, the eigenvalues are A₁

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 66E: Show that A=[0110] has no real eigenvalues.
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From smallest to largest, the eigenvalues are A₁ <A₂ < X3 where
X₁
1₂
5
X3
=
Find the eigenvalues and eigenvectors of the matrix
||
has an eigenvector
has an eigenvector
has an eigenvector
Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
7-2-8
8-3-8
2 -2 -3
Transcribed Image Text:From smallest to largest, the eigenvalues are A₁ <A₂ < X3 where X₁ 1₂ 5 X3 = Find the eigenvalues and eigenvectors of the matrix || has an eigenvector has an eigenvector has an eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues. 7-2-8 8-3-8 2 -2 -3
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