34.10 RankMat

RankMat( mat )

RankMat returns the rank of the matrix mat. The rank is defined as the dimension of the vector space spanned by the rows of mat. It follows that a n by n matrix is invertible exactly if its rank is n.

    gap> RankMat( [ [ 4, 1, 2 ], [ 3, -1, 4 ], [ -1, -2, 2 ] ] );
    2 

Note that RankMat performs a Gaussian elimination. For large rational matrices this may take very long, because the entries may become very large.

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