In the present paper, we give the definitions of four dimensional conull and coregular matrices, and characterize the classes $(\mathcal{M}_{u}:\mathcal{C}_{\vartheta})$, where $\vartheta\in \{p,p0,f\}$ and $\mathcal{C}_{f}$ denotes the space of all almost convergent double sequences. Additionally, we give two Steinhaus type theorems related to the coercive/almost coercive four dimensional sequence to sequence matrix transformations.