Question 63
a) Let $n \in \{2, 3, \dots, 2015\}$ and $A \in \mathcal{M}_n(\mathbb{Q})$ such that $A^{2017} = I_n$. Show that $A = I_n$.
b) Is the previous affirmation true for every positive integer $n$?
b) Is the previous affirmation true for every positive integer $n$?