Inverse of a 2x2 matrix

1. A.
   $\begin{pmatrix} 1 & -\frac{1}{2} \\ 2 & \frac{3}{2} \end{pmatrix}$
2. B.
   $\begin{pmatrix} 1 & \frac{1}{2} \\ -2 & \frac{3}{2} \end{pmatrix}$
3. C.
   $\begin{pmatrix} 1 & -\frac{1}{2} \\ -2 & \frac{3}{2} \end{pmatrix}$
4. D.
   $\begin{pmatrix} 1 & \frac{1}{2} \\ 2 & \frac{3}{2} \end{pmatrix}$

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1. A.
   $-\frac{1}{2}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$
2. B.
   $\frac{1}{14}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$
3. C.
   $\frac{1}{14}\begin{pmatrix}-3&-2\\4&-2\end{pmatrix}$
4. D.
   $-\frac{1}{14}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$

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1. A.
   $\begin{pmatrix}0.8&0.6\\-0.6&0.8\end{pmatrix}$
2. B.
   $\begin{pmatrix}-0.8&0.6\\-0.6&0.8\end{pmatrix}$
3. C.
   $\begin{pmatrix}-0.8&-0.6\\0.6&0.8\end{pmatrix}$
4. D.
   $\begin{pmatrix}8&-6\\6&8\end{pmatrix}$

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1. A.
   $\begin{bmatrix} -i & 1 \\ -i & 2 \end{bmatrix}$
2. B.
   $\begin{bmatrix} i & 1 \\ i & -2 \end{bmatrix}$
3. C.
   $\begin{bmatrix} -i & -1 \\ i & -2 \end{bmatrix}$
4. D.
   $\begin{bmatrix} i & -1 \\ -i & 2 \end{bmatrix}$

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1. A.
   $\begin{bmatrix} \dfrac{2}{7} & \dfrac{1}{7} \\ -\dfrac{1}{14} & \dfrac{3}{14} \end{bmatrix}$
2. B.
   $\begin{bmatrix} \dfrac{3}{14} & -\dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{2}{7} \end{bmatrix}$
3. C.
   $\begin{bmatrix} \dfrac{2}{7} & -\dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{3}{14} \end{bmatrix}$
4. D.
   $\begin{bmatrix} -\dfrac{3}{14} & \dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{2}{7} \end{bmatrix}$

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1. A.
   $-\dfrac{1}{6}\begin{bmatrix} -4 & 5 \\ 2 & -1 \end{bmatrix}$
2. B.
   $\dfrac{1}{14}\begin{bmatrix} -1 & 5 \\ 2 & -4 \end{bmatrix}$
3. C.
   $\dfrac{1}{14}\begin{bmatrix} 4 & 5 \\ 2 & 1 \end{bmatrix}$
4. D.
   $-\dfrac{1}{6}\begin{bmatrix} 4 & 5 \\ 2 & 1 \end{bmatrix}$

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