13 -3 -18 -12 4 18 9 -3 -14 From smallest to largest, the eigenvalues are λ₁ <^₂ < 23 where 2₁ = Find the eigenvalues and eigenvectors of the matrix 2₂ = 23 = has an eigenvector has an eigenvector has an eigenvector

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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t) Find the eigenvalues and eigenvectors of the matrix
-3 -18
13
-12 4 18
9
-3 -14
From smallest to largest, the eigenvalues are ₁ <^2 <3 where
A₁ =
2₂ =
23 =
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.
Transcribed Image Text:t) Find the eigenvalues and eigenvectors of the matrix -3 -18 13 -12 4 18 9 -3 -14 From smallest to largest, the eigenvalues are ₁ <^2 <3 where A₁ = 2₂ = 23 = 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.
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