If $2 \mathrm{~A}=\left(\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right)$, then what is $\mathrm{A}^{-1}$ equal to?

• A

  $\left(\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)$
• Correct answer
  B

  $\frac{1}{2}\left(\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)$
• C

  $\frac{1}{4}\left(\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)$
• D

  None of the above

Hence, the correct answer is option: 'B'.