Dense Matrices over a general ring

class sage.matrix.matrix_generic_dense.Matrix_generic_dense

Bases: sage.matrix.matrix_dense.Matrix_dense

The Matrix_generic_dense class derives from Matrix, and defines functionality for dense matrices over any base ring. Matrices are represented by a list of elements in the base ring, and element access operations are implemented in this class.

EXAMPLES:

sage: A = random_matrix(Integers(25)['x'],2); A
[    x^2 + 12*x + 2   4*x^2 + 13*x + 8]
[ 22*x^2 + 2*x + 17 19*x^2 + 22*x + 14]
sage: type(A)
<type 'sage.matrix.matrix_generic_dense.Matrix_generic_dense'>
sage: TestSuite(A).run()

Test comparisons:

sage: A = random_matrix(Integers(25)['x'],2)
sage: A == A
True
sage: A < A + 1
True
sage: A+1 < A
False