The eigenvalues are λ₁ < λ2 < A3 < №4, where A₁ = has an eigenvector eigenvector A = -37 15 0 0 -70 28 0 0 0 0 9 -3 6 0 0 0 1₂ = has an

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 12EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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The eigenvalues are A₁ < A₂ < 3 < A4, where
入1
has an eigenvector
eigenvector
=
->
←I
←I
→
▶
->
A =
||
-37 15 0 0
-70 28 0
0
0
9
-3
0
0
6
0
(
-
FI
9
1₂
||
-
has an
Transcribed Image Text:The eigenvalues are A₁ < A₂ < 3 < A4, where 入1 has an eigenvector eigenvector = -> ←I ←I → ▶ -> A = || -37 15 0 0 -70 28 0 0 0 9 -3 0 0 6 0 ( - FI 9 1₂ || - has an
X3
X4
has an
2
eigenvector
Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
=
ID
has an eigenvector
←
←I
I-
A
←
||
=
→
Transcribed Image Text:X3 X4 has an 2 eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues. = ID has an eigenvector ← ←I I- A ← || = →
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