Problem $1$: Game Theory $[10$ Points$]$

Suppose that two players, Player A and Player B$,$ are playing a game. Player A gets to choose between three strategies: UP$,$ MIDDLE, and DOWN. Player B gets to choose between three strategies: LEFT, MIDDLE, and RIGHT.

They receive payoffs according to the following Matrix $($Player A$\text{'}$s payoffs is first$)$:

$1.[3$ points$]$ What are Player A$\text{'}$s Best Responses to each strategy that Player B could choose $($i$.$e$.$ L$,$ M$,$ or R$)?$ What are Player B$\text{'}$s Best Responses to each strategy that Player A could choose $($i$.$e$.$ U$,$ M$,$ or D$)?$

$2.[2$ points$]$ What are the Nash Equilibria in this game?