On May 20, 2010, at 3:15 PM, VictorMiller wrote:

Does the Matrix class have methods for vertical and horizontal joins
of matrices (as in Magma)?  That is

if A is an m by n matrix and B is an r by n matrix then
VerticalJoin(A,B) would by the (m+r) by n matrix with A "on top" and B
"on the bottom".  Similarly, if A is m by n and B is m by r then
HorizontalJoin(A,B) would be an m by (n+r) matrix with A "on the left"
and B "on the right".  I though that Numeric Python used to have
something like this with a method called concatenate, but I can't find
that in numpy.

You're probably looking for stack and augment.

sage: M = random_matrix(ZZ, 3, 3)
sage: M.stack(M)
[ -1   1  -5]
[ 72  -2   1]
[ -2   2 -20]
[ -1   1  -5]
[ 72  -2   1]
[ -2   2 -20]
sage: M.augment(M)
[ -1   1  -5  -1   1  -5]
[ 72  -2   1  72  -2   1]
[ -2   2 -20  -2   2 -20]

- Robert

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