Zero Matrix

Definition: Zero Matrix

The $m\times n$-zero matrix over the field $F$ is the matrix whose entries are all the additive identity of $F$.

$$\left[\begin{array}{ccc}{0}_F& \cdots & 0_F\\ ⋮& \ddots & ⋮\\ 0_F& \cdots & 0_F\end{array}\right]\in F^{m\times n}$$