Find all eigenvalues and eigenvector of the matrix 3 A = 1 4 1 -2 -4 Give the eigenvalues in ascending order. Choose the corresponding eigenvectors from the table below: V = V = V = v = 2 Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 2 2₁ = Eigenvector number: 2₂ = Eigenvector number: λ3 = Eigenvector number: Mi 2

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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d)
Choose one
Choose one
All
One or more
tin
m
Transcribed Image Text:d) Choose one Choose one All One or more tin m
Find all eigenvalues and eigenvector of the matrix
3
2 2
A =
1
4
1
-2 -4 -1
Give the eigenvalues in ascending order. Choose the corresponding eigenvectors from the table below:
-1
2
|--0-0-0-0-0-0
=
=
= 2
=
= 1 V=2
Vector 1 Vector 2
Vector 3
Vector 4
Vector 5
Vector 6
i 2
2₁ =
Eigenvector number:
2₂:
Eigenvector number:
Eigenvector number:
ज्ञ
S
23
||
||
Mi
i
V
V
V
Transcribed Image Text:Find all eigenvalues and eigenvector of the matrix 3 2 2 A = 1 4 1 -2 -4 -1 Give the eigenvalues in ascending order. Choose the corresponding eigenvectors from the table below: -1 2 |--0-0-0-0-0-0 = = = 2 = = 1 V=2 Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 i 2 2₁ = Eigenvector number: 2₂: Eigenvector number: Eigenvector number: ज्ञ S 23 || || Mi i V V V
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