Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
EXAMPLES:
sage: m=matrix(2); m; m.parent()
[0 0]
[0 0]
Full MatrixSpace of 2 by 2 dense matrices over Integer Ring
sage: m=matrix(2,3); m; m.parent()
[0 0 0]
[0 0 0]
Full MatrixSpace of 2 by 3 dense matrices over Integer Ring
sage: m=matrix(QQ,[[1,2,3],[4,5,6]]); m; m.parent()
[1 2 3]
[4 5 6]
Full MatrixSpace of 2 by 3 dense matrices over Rational Field
sage: m = matrix(QQ, 3, 3, lambda i, j: i+j); m
[0 1 2]
[1 2 3]
[2 3 4]
sage: m = matrix(3, lambda i,j: i-j); m
[ 0 -1 -2]
[ 1 0 -1]
[ 2 1 0]
sage: matrix(QQ,2,3,lambda x, y: x+y)
[0 1 2]
[1 2 3]
sage: matrix(QQ,3,2,lambda x, y: x+y)
[0 1]
[1 2]
[2 3]
sage: v1=vector((1,2,3))
sage: v2=vector((4,5,6))
sage: m=matrix([v1,v2]); m; m.parent()
[1 2 3]
[4 5 6]
Full MatrixSpace of 2 by 3 dense matrices over Integer Ring
sage: m=matrix(QQ,2,[1,2,3,4,5,6]); m; m.parent()
[1 2 3]
[4 5 6]
Full MatrixSpace of 2 by 3 dense matrices over Rational Field
sage: m=matrix(QQ,2,3,[1,2,3,4,5,6]); m; m.parent()
[1 2 3]
[4 5 6]
Full MatrixSpace of 2 by 3 dense matrices over Rational Field
sage: m=matrix({(0,1): 2, (1,1):2/5}); m; m.parent()
[ 0 2]
[ 0 2/5]
Full MatrixSpace of 2 by 2 sparse matrices over Rational Field
sage: m=matrix(QQ,2,3,{(1,1): 2}); m; m.parent()
[0 0 0]
16 Chapter 2. Matrix Constructor