Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

CHAPTER
SEVEN
BASE CLASS FOR MATRICES, PART 2
Base class for matrices, part 2
For design documentation see matrix/docs.py.
AUTHORS:
TESTS:
• William Stein: initial version
• Miguel Marco (2010-06-19): modified eigenvalues and eigenvectors functions to allow the option extend=False
• Rob Beezer (2011-02-05): refactored all of the matrix kernel routines
sage: m = matrix(ZZ[’x’], 2, 3, [1..6])
sage: TestSuite(m).run()
class sage.matrix.matrix2.Matrix
Bases: sage.matrix.matrix1.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)
C
Returns the conjugate matrix.
EXAMPLE:
sage: A = matrix(QQbar, [[ -3, 5 - 3*I, 7 - 4*I],
... [7 + 3*I, -1 + 6*I, 3 + 5*I],
... [3 + 3*I, -3 + 6*I, 5 + I]])
sage: A.C
[ -3 5 + 3*I 7 + 4*I]
119