The following matrix A has a double eigenvalue at -2 and a single eigenvalue at -1. Compute its Jordan canonical form, and compute a matrix V such that V-¹AV is in the Jordan canonical form.

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
icon
Related questions
Question
The following matrix A has a double eigenvalue at -2 and a single eigenvalue at -1.
Compute its Jordan canonical form, and compute a matrix V such that V-¹AV is in
the Jordan canonical form.
-2 1 -1
4640
-3 1
1/3 -5/3
A =
Transcribed Image Text:The following matrix A has a double eigenvalue at -2 and a single eigenvalue at -1. Compute its Jordan canonical form, and compute a matrix V such that V-¹AV is in the Jordan canonical form. -2 1 -1 4640 -3 1 1/3 -5/3 A =
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
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,
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