If the multiplicative group consists of $2 \times 2$ matrices of the form $\begin{bmatrix} a & a \\ a & a \end{bmatrix}$,where $a \neq 0$ and $a \in \mathbb{R}$,then the inverse of $\begin{bmatrix} 2 & 2 \\ 2 & 2 \end{bmatrix}$ is:

• A
  $\begin{bmatrix} 1/8 & 1/8 \\ 1/8 & 1/8 \end{bmatrix}$
• B
  $\begin{bmatrix} 1/4 & 1/4 \\ 1/4 & 1/4 \end{bmatrix}$
• C
  $\begin{bmatrix} 1/2 & 1/2 \\ 1/2 & 1/2 \end{bmatrix}$
• D
  Does not exist