So The title is part (i) and part (ii) is "use the formula to show that if A is a square matrix with identity $A^l$ for some $l$, then A is diagonalizable.
I'm totally new to Jordan block matrices and Jordan normal form and this is one of our workshop questions. I've got lecture notes in front of me but they don't really seem to be helping, can anyone else help explain how to go about this question.
I do understand that A is diagonalizable if and only if each Jordan block of A has size 1 and wouldn't that then mean r=1. so I'm not sure how s can be less than r.