To add two matrices, we add their corresponding elements. Given matrices:

[ \left[ \begin{array}{cc} -2 & 0 \ 3 & -2 \end{array} \right] + \left[ \begin{array}{cc} 3 & -1 \ 2 & 0 \end{array} \right] ]

we add each element in the first matrix to the corresponding element in the second matrix.

1. Top left element: $-2 + 3 = 1$
2. Top right element: $0 + (-1) = -1$
3. Bottom left element: $3 + 2 = 5$
4. Bottom right element: $-2 + 0 = -2$

So, the resulting matrix is: