Originally Posted by

**Deadstar** I dont want the answer to this this but if someone could guide me in the right direction it would be much appreciated.

Consider the set $\displaystyle M_n (R)$ of n x n matrices over R. For $\displaystyle A,B \in M_n (R)$ say that B is similar to A if and only if there is an invertible matrix P with $\displaystyle B = P^-1 A P$. Show that similarity is an equivalence relation on $\displaystyle M_n (R)$.

If i understand right to prove this i have to show that the set $\displaystyle M_n (R)$ is refexive, symmetric and transitive but im not sure how to do this... Any help please!

HOLD ON GOTTA FIX THE LATEX!