  Given a commutative ring $R$ with identity, a matrix $A\in M_{s\times l}(R)$,
and $R$-linear codes $\mathcal{C}_1, \dots, \mathcal{C}_s$ of the same length,
this article considers the hull of the matrix-product codes $[\mathcal{C}_1
\dots \mathcal{C}_s]\,A$. Consequently, it introduces various sufficient
conditions under which $[\mathcal{C}_1 \dots \mathcal{C}_s]\,A$ is a linear
complementary dual (LCD) code. As an application, LCD matrix-product codes
arising from torsion codes over finite chain rings are considered. Highlighting
examples are also given.
