Determine Whether the Two Matrices Are Inverses of Each Other $\left[\begin{array}{rrr}1 & 2 & 0 \\ -2 & 0 & 2 \\ 3 & 2 & -4\end{array}\right]$

Determine whether the two matrices are inverses of each other by computing their product.
- $\left[\begin{array}{rrr}1 & 2 & 0 \\ -2 & 0 & 2 \\ 3 & 2 & -4\end{array}\right]$ and $\left[\begin{array}{rrr}\frac{1}{2} & -1 & -\frac{1}{2} \\ \frac{1}{4} & \frac{1}{2} & \frac{1}{4} \\ \frac{1}{2} & -\frac{1}{2} & -\frac{1}{2}\end{array}\right]$