  We use a matrix approach to study the concept of Morita context in the
bicategory $\mathcal{LG}_{K}$ of Landau-Ginzburg models on a particular class
of objects. In fact, we first use properties of matrix factorizations to state
and prove two necessary conditions to obtain a Morita context between two
objects of $\mathcal{LG}_{K}$. Next, we use a celebrated result (due to Schur)
on determinants of block matrices to show that these necessary conditions are
not sufficient. Finally, we state a trivial sufficient condition.
