Find the Inverse, If It Exists, for the Matrix $\left[\begin{array}{l}-\frac{2}{5} \frac{3}{5} \\ -\frac{1}{2} \frac{1}{2}\end{array}\right]$

Find the inverse, if it exists, for the matrix.
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A) $\left[\begin{array}{l}-\frac{2}{5} \frac{3}{5} \\ -\frac{1}{2} \frac{1}{2}\end{array}\right]$
B) $\left[\begin{array}{cc}\frac{3}{5} & \frac{1}{2} \\ -\frac{2}{5} & -\frac{1}{2}\end{array}\right]$
C) $\left[\begin{array}{l}-\frac{1}{2} \frac{1}{2} \\ -\frac{2}{5} \frac{3}{5}\end{array}\right]$
D) $\left[\begin{array}{rr}-\frac{1}{2} & -\frac{1}{2} \\ \frac{2}{5} & \frac{3}{5}\end{array}\right]$
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Correct Answer:

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