Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

CHAPTER
FOUR
ABSTRACT BASE CLASS FOR
MATRICES
Abstract base class for matrices
For design documentation see matrix/docs.py.
class sage.matrix.matrix.Matrix
Bases: sage.matrix.matrix2.Matrix
The initialization routine of the Matrix base class ensures that it sets the attributes self._parent, self._base_ring,
self._nrows, self._ncols. It sets the latter ones by accessing the relevant information on parent, which is often
slower than what a more specific subclass can do.
Subclasses of Matrix can safely skip calling Matrix.__init__ provided they take care of initializing these attributes
themselves.
The private attributes self._is_immutable and self._cache are implicitly initialized to valid values upon memory
allocation.
EXAMPLES:
sage: import sage.matrix.matrix0
sage: A = sage.matrix.matrix0.Matrix(MatrixSpace(QQ,2))
sage: type(A)
sage.matrix.matrix.is_Matrix(x)
EXAMPLES:
sage: from sage.matrix.matrix import is_Matrix
sage: is_Matrix(0)
False
sage: is_Matrix(matrix([[1,2],[3,4]]))
True
67