34.15 SolutionMat

SolutionMat( mat, vec )

SolutionMat returns one solution of the equation x * mat = vec or false if no such solution exists.

    gap> SolutionMat( [ [ 2, -4, 1 ], [ 0, 0, -4 ], [ 1, -2, -1 ] ],
    >                  [ 10, -20, -10 ] );
    [ 5, 15/4, 0 ]
    gap> SolutionMat( [ [ 2, -4, 1 ], [ 0, 0, -4 ], [ 1, -2, -1 ] ],
    >                  [ 10, 20, -10 ] );
    false 

Note that for large rational matrices SolutionMat may take very long, because the entries may become very large during the Gaussian elimination, even if the final result only contains small integers.

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