(solMatLine,l1Line,l2Line) = singleSolutionMatricesLine(relLin,subsLine)
The procedure computes first the solution matrix and its linear submatrices and substitutes then the $a$-variables with the assignments from the chosen line. The resulting matrices are then defined over a $\mathbb{P}^1$.
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The object singleSolutionMatricesLine is a method function.