Show that the relation:
\[ R = \{(a, b) : (a - b) \text{ is a multiple of 5} \} \]on the set \( \mathbb{Z} \) of integers is an equivalence relation.
If
\[ A = \begin{bmatrix} 1 & -2 & 3 \\ -4 & 2 & 5 \end{bmatrix}, \quad B = \begin{bmatrix} 2 & 3 \\ 4 & 5 \\ 2 & 1 \end{bmatrix} \]Then find \( AB \) and \( BA \).