To find the product of the two matrices, we will denote the matrices as follows:
Let \( A = \begin{pmatrix} 0 & -1 \ 3 & -4 \end{pmatrix} \) and \( B = \begin{pmatrix} 0 & -1 & 1 & 2 \ -3 & -1 & 0 & -1 \ 0 & 2 & 0 & 0 \end{pmatrix} \).
We will multiply matrix \( A \) (which is a 2x2 matrix) by matrix \( B \) (which is a 3x4 matrix). However, note that a 2x2 matrix cannot be multiplied by a 3x4 matrix because the inner dimensions need to match (i.e., the number of columns in \( A \) must equal the number of rows in \( B \)). Thus, we cannot compute the product \( AB \) directly as it is not defined.
If instead, you intended to multiply \( A \) by a different matrix or rearranged \( B \), please clarify. Otherwise, performing the operation as stated is not possible.