[sage-support] Re: Unimodular transformation matrix of LLL algorithm

[slelievre]

Note: also asked on Ask Sage:

- Unimodular transformation matrix of LLL algorithm
  https://ask.sagemath.org/question/53618

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[sage-support] Unimodular transformation matrix of LLL algorithm

[Santanu Sarkar]

Dear all,
   I have a matrix M1 with integer entries with 90 rows and 6 columns.
After applying LLL algorithm of M1, I get M2=M1.LLL(). I want to get
corresponding unimodular transformation matrix T such that
T*M1=M2. We can find T by
T=M2*M1.pseudoinverse() or T== M1.solve_left(M2), but determinant of T
becomes 0 i.e.,  T.det()=0.
I want T.det()=1.

Best regards,
Santanu

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