Compute the eigenvalues and eigenvectors for the matrix 2-3 0 2-30 3 -5 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Compute the eigenvalues and eigenvectors for the matrix
2-3 0
2-3 0
3 -5 1
O
A₁ = 1
eigenvalue: X₂ = 1
13=1
Eigenvector.
3
X1 = 2
Eigenvector:
-|-|
A₁ = 0
eigenvalue: ₂ = 1
A3 = 1
3
X1 = 2
x₂ =
x₂ =
A₁ = 0
eigenvalue: A₂ = 1
A3 = - 1
X3
Transcribed Image Text:Compute the eigenvalues and eigenvectors for the matrix 2-3 0 2-3 0 3 -5 1 O A₁ = 1 eigenvalue: X₂ = 1 13=1 Eigenvector. 3 X1 = 2 Eigenvector: -|-| A₁ = 0 eigenvalue: ₂ = 1 A3 = 1 3 X1 = 2 x₂ = x₂ = A₁ = 0 eigenvalue: A₂ = 1 A3 = - 1 X3
O
eigenvalue
Eigenvector:
X1 =
eigenvalue: A₁ = 0
A₂ = 1
A3 = -1
Eigenvector
3
27
X₁ = 2
A₁=0
A₂ = 1
A3 = - 1
X2
Eigenvector:
321
A₁ = 0
eigenvalue: ^₂ = 1
HO
A3 = - 1
X12, X₂=
Transcribed Image Text:O eigenvalue Eigenvector: X1 = eigenvalue: A₁ = 0 A₂ = 1 A3 = -1 Eigenvector 3 27 X₁ = 2 A₁=0 A₂ = 1 A3 = - 1 X2 Eigenvector: 321 A₁ = 0 eigenvalue: ^₂ = 1 HO A3 = - 1 X12, X₂=
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