#11553: Matrix morphism additions
------------------------------+---------------------------------------------
Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.7.2
Component: linear algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Rob Beezer
Merged: | Dependencies: #11552
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Comment(by rbeezer):
Strikes me there is a more general problem with free module equality,
which I will ask about on sage-devel:
{{{
sage: R = PolynomialRing(QQ, 'a')
sage: x = vector(R, [1, 0])
sage: y = vector(R, [0, 1])
sage: z = vector(R, [0,-1])
sage: A = (R^2).span([x, y])
sage: B = (R^2).span([x, z])
sage: A == B
False
sage: A.is_submodule(B)
True
sage: B.is_submodule(A)
True
}}}
which at its root might be
{{{
sage: S = matrix([x, y])
sage: S._echelon_form_PID()[1]
[1 0]
[0 1]
sage: T = matrix([x, z])
sage: T._echelon_form_PID()[1]
[ 1 0]
[ 0 -1]
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11553#comment:3>
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