The symmetric matrix 3 11 A = 1 3 1 115 has dominant eigenvector e, = [1 1 2]¹. Obtain the matrix A₁ = A - λ₁e₁e¹ where 2, is the eigenvalue corresponding to the eigenvector e₁. Using the deflation method, obtain the subdominant eigenvalue 2₂ and corresponding eigenvector e, correct to two decimal places, taking [111] as a first approximation to e₂. Continue the process to obtain the third eigenvalue 23 and its corresponding eigenvector e3.
The symmetric matrix 3 11 A = 1 3 1 115 has dominant eigenvector e, = [1 1 2]¹. Obtain the matrix A₁ = A - λ₁e₁e¹ where 2, is the eigenvalue corresponding to the eigenvector e₁. Using the deflation method, obtain the subdominant eigenvalue 2₂ and corresponding eigenvector e, correct to two decimal places, taking [111] as a first approximation to e₂. Continue the process to obtain the third eigenvalue 23 and its corresponding eigenvector e3.
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 24EQ
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage