just a quick question about how to determine if a matrix has a JCF - I know that if the characteristic polynomial factorises as a product of linear factors it has one but what if you only know the minimal polynomial factorises as a product of linear factors? Is this enough to say the matrix has a JCF? Thanks
Asked
Active
Viewed 15 times
0
-
These two conditions are equivalent. The characteristic and minimal polynomial have the same irreducible factors. – Mark May 05 '23 at 11:30
-
https://en.wikipedia.org/wiki/Jordan_normal_form – Anne Bauval May 05 '23 at 11:32
-
Oh yeah that makes sense. Thanks – Joseph Sun May 05 '23 at 11:32