Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let the characteristic polynomial of A be X=(8-5) (8-2)² and the minimal polynomial be (8-5)² (8-2) Find all possible Jordan forms J for the matrix A 201 000 0 a 51

Let the characteristic polynomial of A be X=(8-5) (8-2)² and the minimal polynomial be (8-5)² (8-2) Find all possible Jordan forms J for the matrix A 201 000 0 a 51

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Let the characteristic polynomial of A be x = (8-5) (8 - 2)2 and the minimal polynomial be (8-5)² (8-2) Find all possible Jordan forms J for the matrix A О either J either J either J 510000 ОБ000 0 005100 000500 0 000 20 00000 2 [510000 050000 005000 000 5 0 0 000020 00000 2, [510000 0500 0051 0 0 000500 0 0 20 0 0 0 0 0 00 0 0 0 0 0 2 ГБ 1 0600 0 0000 0 005 10 0 or J oe J 5 1000 000090 0 0 6 0 0 0 0005 00 000020 000002 5000 001 050000 005000 000 50 0 000020 0000 03 [510000 05 0 0 0 0 005000 009000 1G00 00 0 2 000002 510000 050000 05000
Transcribed Image Text:Let the characteristic polynomial of A be x = (8-5) (8 - 2)2 and the minimal polynomial be (8-5)² (8-2) Find all possible Jordan forms J for the matrix A О either J either J either J 510000 ОБ000 0 005100 000500 0 000 20 00000 2 [510000 050000 005000 000 5 0 0 000020 00000 2, [510000 0500 0051 0 0 000500 0 0 20 0 0 0 0 0 00 0 0 0 0 0 2 ГБ 1 0600 0 0000 0 005 10 0 or J oe J 5 1000 000090 0 0 6 0 0 0 0005 00 000020 000002 5000 001 050000 005000 000 50 0 000020 0000 03 [510000 05 0 0 0 0 005000 009000 1G00 00 0 2 000002 510000 050000 05000
either J either J either Ja or J 000020 0 0 0 0 0 2 510000 05 0 0 0 0 0 0 50 00 000500 000020 0 0 000 2 510000 05 0 0 0 0 0 005100 000500 000020 0 0 0 0 0 2 5 1000 07 050000 005 100 000500 000020 0 51 05 0 0 0 0 0 0 0 0 2 0 0 5100 0500 0021 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20000 or J- or J or J= or J- 00002 000 00 500000 050000 000 90 0 SN 0 0 5 0 0 0 000500 000020 00000 2 0 2, 510000 050000 005000 000500 000021 0 0 0 0 0 050000 005000 51000 050000 005000 000500 000020 L00000 2, 100007 0 0 0 0 0 0 0 009 021 0 0 0 0 2
Transcribed Image Text:either J either J either Ja or J 000020 0 0 0 0 0 2 510000 05 0 0 0 0 0 0 50 00 000500 000020 0 0 000 2 510000 05 0 0 0 0 0 005100 000500 000020 0 0 0 0 0 2 5 1000 07 050000 005 100 000500 000020 0 51 05 0 0 0 0 0 0 0 0 2 0 0 5100 0500 0021 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20000 or J- or J or J= or J- 00002 000 00 500000 050000 000 90 0 SN 0 0 5 0 0 0 000500 000020 00000 2 0 2, 510000 050000 005000 000500 000021 0 0 0 0 0 050000 005000 51000 050000 005000 000500 000020 L00000 2, 100007 0 0 0 0 0 0 0 009 021 0 0 0 0 2
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS