As you can check, the matrix A = 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 and an eigenvalue 3 of multiplicity 2 with eigenvector A scalar multiples of 1 solving (A-31)₂ = ₁. Write v2 below: - A 1 1 -1 but all other eigenvectors for X = 3 are 12 so A has a defect of 1. Find a generalized eigenvector 2 for X = 3 by
As you can check, the matrix A = 1 -1 -2 -2 has an eigenvalue -1 with eigenvector-2 23/1 -4 4 7 and an eigenvalue 3 of multiplicity 2 with eigenvector A scalar multiples of 1 solving (A-31)₂ = ₁. Write v2 below: - A 1 1 -1 but all other eigenvectors for X = 3 are 12 so A has a defect of 1. Find a generalized eigenvector 2 for X = 3 by
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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 4 steps with 4 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning