How to find jordan form given rank?

  • Context: Graduate 
  • Thread starter Thread starter chuy52506
  • Start date Start date
  • Tags Tags
    Form rank
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 3K views
chuy52506
Messages
77
Reaction score
0
How to find jordan form given rank??

Find the jordan for of A given that A is an 8x8 matrix, rank(A)=5, rank(A^2)=2, rank(A^3)=1 and rank(A^4)=0.

I know that the largest jordan block will be 4x4 and there will be only one of them since the rank(A^3)=1 but how do i find the rest??
 
Physics news on Phys.org