Row 1, column 1:
Hint: Row 1 of $A$ is $\begin{pmatrix} -2 & 3 \end{pmatrix}$. Column 1 of $\mathbf{v}$ is $\begin{pmatrix} 0 \\ -2 \end{pmatrix}$. Multiply in pairs and add the results.
Row 2, column 1:
Hint: Row 2 of $A$ is $\begin{pmatrix} -2 & 1 \end{pmatrix}$. Column 1 of $\mathbf{v}$ is $\begin{pmatrix} 0 \\ -2 \end{pmatrix}$. Multiply in pairs and add the results.