#18787: Bug with matrice products over Symbolic Ring with modular integers
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Reporter: tmonteil | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: symbolics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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As reported on [http://ask.sagemath.org/question/27196/multiplying-
matrices-with-different-parents/ this ask question]
{{{
sage: sage: var('A,B,C,D')
(A, B, C, D)
sage: S = matrix(SR,2,[[1+3*A,3*B],[3*C,1+3*D]])
sage: R = Zmod(9)
sage: g = matrix(R,2,[[2,1],[2,6]])
sage: gi = matrix(R,2,[[6,8],[7,2]])
sage: g*S*gi
[ 6*B + 3*D + 1 3*A + 3*B + 6*C + 6*D]
[ 0*A + 0*D 3*A + 0*D + 1]
}}}
While we have (look at the second line):
{{{
sage: R.<A,B,C,D> = PolynomialRing(Zmod(9),4)
sage: g = matrix(R,2,[[2,1],[2,6]])
sage: gi = matrix(R,2,[[6,8],[7,2]])
sage: S = matrix(R,2,[[1+3*A,3*B],[3*C,1+3*D]])
sage: g*S*gi
[ 6*B + 3*D + 1 3*A + 3*B + 6*C + 6*D]
[ 6*B 3*A + 3*B + 1]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/18787>
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