The matrix A = [-62 -12] 285 55 A₂ = -5 with eigenvector v2 A EDE¹ where E-¹ is E and D is the diagonal matrix - has eigenvalue X₁ [-19]. -2 with eigenvector ₁ H == . Forming the matrix E - 1 L' 4 -5-19] H and eigenvalue we can write "

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 31EQ
icon
Related questions
Question
The matrix A =
-62 -12]
285 55
A₂ = -5 with eigenvector v₂
A EDE¹ where E-¹ is
and D is the diagonal matrix
has eigenvalue X₁ = -2 with eigenvector 1
4
1₁
-5-19
4
-19
. Forming the matrix E
=
[1]
we can write
and eigenvalue
Transcribed Image Text:The matrix A = -62 -12] 285 55 A₂ = -5 with eigenvector v₂ A EDE¹ where E-¹ is and D is the diagonal matrix has eigenvalue X₁ = -2 with eigenvector 1 4 1₁ -5-19 4 -19 . Forming the matrix E = [1] we can write and eigenvalue
Expert Solution
steps

Step by step

Solved in 3 steps with 16 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,