Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
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sage: B.parent()
Full MatrixSpace of 2 by 2 dense matrices over Rational Field
matrix_space(nrows=None, ncols=None, sparse=None)
Return the ambient matrix space of self.
INPUT:
•nrows, ncols - (optional) number of rows and columns in returned matrix space.
•sparse - whether the returned matrix space uses sparse or dense matrices.
EXAMPLES:
sage: m = matrix(3, [1..9])
sage: m.matrix_space()
Full MatrixSpace of 3 by 3 dense matrices over Integer Ring
sage: m.matrix_space(ncols=2)
Full MatrixSpace of 3 by 2 dense matrices over Integer Ring
sage: m.matrix_space(1)
Full MatrixSpace of 1 by 3 dense matrices over Integer Ring
sage: m.matrix_space(1, 2, True)
Full MatrixSpace of 1 by 2 sparse matrices over Integer Ring
new_matrix(nrows=None, ncols=None, entries=None, coerce=True, copy=True, sparse=None)
Create a matrix in the parent of this matrix with the given number of rows, columns, etc. The default
parameters are the same as for self.
INPUT:
These three variables get sent to matrix_space():
•nrows, ncols - number of rows and columns in returned matrix. If not specified, defaults to None
and will give a matrix of the same size as self.
•sparse - whether returned matrix is sparse or not. Defaults to same value as self.
The remaining three variables (coerce, entries, and copy) are used by
sage.matrix.matrix_space.MatrixSpace() to construct the new matrix.
Warning: This function called with no arguments returns the zero matrix of the same dimension and
sparseness of self.
EXAMPLES:
sage: A = matrix(ZZ,2,2,[1,2,3,4]); A
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sage: A.new_matrix()
[0 0]
[0 0]
sage: A.new_matrix(1,1)
[0]
sage: A.new_matrix(3,3).parent()
Full MatrixSpace of 3 by 3 dense matrices over Integer Ring
sage: A = matrix(RR,2,3,[1.1,2.2,3.3,4.4,5.5,6.6]); A
[1.10000000000000 2.20000000000000 3.30000000000000]
[4.40000000000000 5.50000000000000 6.60000000000000]
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