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Let $K$ be a knot in $S^3$ and $X$ its complement. We study deformations ofnon-abelian, metabelian, reducible representations of the knot group$\pi\_1(X)$ into $\mathrm{SL}(n,\mathbf{C})$ which are associated to a simpleroot of the Alexander polynomial. We prove that certain of these metabelianreducible representations are smooth points of the$\mathrm{SL}(n,\mathbf{C})$-representation variety and that they haveirreducible deformations.

Deformations of reducible representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$