2

If we have $A$ a $n$ by $m$ matrix and $B$ a $m$ by $n$ matrix, then is there a relation between the minimal polynomial of $AB$ and the one of $BA$, like in the case of the characteristic polynomial?

Asix
  • 573
  • 1
    For the case $m=n$, this has been answered several times in the past. For example: https://math.stackexchange.com/questions/2651592/ – quasi Mar 22 '18 at 08:50
  • 1
    For the non-square case, see the answer by user164626 to the question: https://math.stackexchange.com/questions/311342 – quasi Mar 22 '18 at 08:56

0 Answers0