Determine Whether the Statement Is True or False

True/False

determine whether the statement is true or false.
- $$\text { If } \mathbf { A } \text { and } \mathbf { B } \text { are } 2 \times 2 \text { matrices such that } \mathbf { A B } = \left( \begin{array} { l l } 0 & 0 \\0 & 0\end{array} \right) \text {, then } \mathbf { A } = \left( \begin{array} { l l } 0 & 0 \\0 & 0\end{array} \right) \text { or } \mathbf { B } = \left( \begin{array} { l l } 0 & 0 \\0 & 0\end{array} \right)$$