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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Row subdivisions are preserved by stacking, and enriched, if subdivisions are requested. (So multiple
stackings can be recorded.)
sage: A = matrix(QQ, 2, 4, range(8))
sage: A.subdivide([1], None)
sage: B = matrix(QQ, 3, 4, range(12))
sage: B.subdivide([2], None)
sage: A.stack(B, subdivide=True)
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[-----------]
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[-----------]
[ 0 1 2 3]
[ 4 5 6 7]
[-----------]
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Column subdivisions can be preserved, but only if they are identical. Otherwise, this information is discarded
and must be managed separately.
sage: A = matrix(QQ, 2, 5, range(10))
sage: A.subdivide(None, [2,4])
sage: B = matrix(QQ, 3, 5, range(15))
sage: B.subdivide(None, [2,4])
sage: A.stack(B, subdivide=True)
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[ 5 6| 7 8| 9]
[-----+-----+--]
[ 0 1| 2 3| 4]
[ 5 6| 7 8| 9]
[10 11|12 13|14]
sage: A.subdivide(None, [1,2])
sage: A.stack(B, subdivide=True)
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[--------------]
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The result retains the base ring of self by coercing the elements of bottom into the base ring of self.
sage: A = matrix(QQ, 1, 2, [1,2])
sage: B = matrix(RR, 1, 2, [sin(1.1), sin(2.2)])
sage: C = A.stack(B); C
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[183017397/205358938 106580492/131825561]
sage: C.parent()
Full MatrixSpace of 2 by 2 dense matrices over Rational Field
sage: D = B.stack(A); D
[0.891207360061435 0.808496403819590]
[ 1.00000000000000 2.00000000000000]
sage: D.parent()
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