24.5 Random Matrices

RandomMat returns a new mutable random matrix with m rows and n columns with elements taken from the ring R, which defaults to Integers.

RandomInvertibleMat returns a new mutable invertible random matrix with m rows and columns with elements taken from the ring R, which defaults to Integers.

returns a new random mutable m ×m matrix with integer entries that is invertible over the integers.

gap> RandomMat(2,3,GF(3));
[ [ Z(3)^0, Z(3), Z(3)^0 ], [ Z(3), Z(3)^0, Z(3)^0 ] ]
gap> RandomInvertibleMat(4);
[ [ -1, 0, 1, -1 ], [ 2, 1, 3, 0 ], [ 1, 4, 0, 2 ], [ -3, 2, 1, 0 ] ]

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