True/False Question :
For any matrix $C$ with entries in $\mathbb{C}$, let $m\left ( C \right )$ denote the minimal polynomial of $C$, and $p\left ( C \right )$ its characteristic polynomial. Then for any $n \in\mathbb{N}$, two matrices $A , B \in M_{n}\left ( \mathbb{C} \right )$ are similar if and only if $m\left ( A \right )=m\left ( B \right )$ and $p\left ( A \right ) = p\left ( B \right ).$
