Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

CHAPTER
FIVE
BASE CLASS FOR MATRICES, PART 0
Base class for matrices, part 0
Note: For design documentation see matrix/docs.py.
EXAMPLES:
sage: matrix(2,[1,2,3,4])
[1 2]
[3 4]
class sage.matrix.matrix0.Matrix
Bases: sage.structure.element.Matrix
A generic matrix.
The Matrix class is the base class for all matrix classes. To create a Matrix, first create a MatrixSpace,
then coerce a list of elements into the MatrixSpace. See the documentation of MatrixSpace for more
details.
EXAMPLES:
We illustrate matrices and matrix spaces. Note that no actual matrix that you make should have class Matrix;
the class should always be derived from Matrix.
sage: M = MatrixSpace(CDF,2,3); M
Full MatrixSpace of 2 by 3 dense matrices over Complex Double Field
sage: a = M([1,2,3, 4,5,6]); a
[1.0 2.0 3.0]
[4.0 5.0 6.0]
sage: type(a)
sage: parent(a)
Full MatrixSpace of 2 by 3 dense matrices over Complex Double Field
sage: matrix(CDF, 2,3, [1,2,3, 4,5,6])
[1.0 2.0 3.0]
[4.0 5.0 6.0]
sage: Mat(CDF,2,3)(range(1,7))
[1.0 2.0 3.0]
[4.0 5.0 6.0]
sage: Q. = QuaternionAlgebra(QQ, -1,-1)
sage: matrix(Q,2,1,[1,2])
69