Given a commutative ring $R$ with identity, a matrix $Ain M_{stimes l}(R)$, 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.
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