<p>The present work introduces a matrix analogue of a general class of <i>q</i>-polynomials <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\{ S_{n}(A,L,m;x|q): A\in \mathbb {C}^{r\times r}, L\in \{0\}\cup \mathbb {N}, m\in \mathbb {N}, x\in \mathbb {R}, 0&lt;q&lt;1 \}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">{</mo> <msub> <mi>S</mi> <mi>n</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>,</mo> <mi>L</mi> <mo>,</mo> <mi>m</mi> <mo>;</mo> <mi>x</mi> <mo stretchy="false">|</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> <mo>:</mo> <mi>A</mi> <mo>∈</mo> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mi>r</mi> <mo>×</mo> <mi>r</mi> </mrow> </msup> <mo>,</mo> <mi>L</mi> <mo>∈</mo> <mrow> <mo stretchy="false">{</mo> <mn>0</mn> <mo stretchy="false">}</mo> </mrow> <mo>∪</mo> <mi mathvariant="double-struck">N</mi> <mo>,</mo> <mi>m</mi> <mo>∈</mo> <mi mathvariant="double-struck">N</mi> <mo>,</mo> <mi>x</mi> <mo>∈</mo> <mi mathvariant="double-struck">R</mi> <mo>,</mo> <mn>0</mn> <mo>&lt;</mo> <mi>q</mi> <mo>&lt;</mo> <mn>1</mn> <mo stretchy="false">}</mo> </mrow> </math></EquationSource> </InlineEquation>. For these polynomials certain properties such as the inverse series relation, integral representations and <i>q</i>-difference equation are obtained. The particular cases namely, the <i>q</i>-Brafman matrix polynomials, <i>q</i>-Konhauser matrix polynomials, an extension of <i>q</i>-Laguerre matrix polynomials, <i>q</i>-extended biorthogonal matrix polynomials and extended <i>q</i>-Jacobi matrix polynomials are also illustrated.</p>