Thread: similar matrices

Let be square matrices of order .
If or is invertible, show that is similar to .

First I saw this question, I think there' s a typo in this question since every matrix is similar to itself.
May be it should be similar to .

Anyway, i still can't solve it if it is .

Think about what you know.
You know that A has an inverse (or similarly for B).
So exists. So chances are it's going to be very closely related to your similarity transformation.
Hope that helps.