2019-10-19 08:38:48 +0200 | asked a question | Can I get the transformation matrix for echelon form reduction over a finite field? I need to get the transformation matrix from echelon form reduction over finite fields but I found in the documentation the following statement: The matrix library used for Z/p-matrices does not return the transformation matrix, so the transformation option is ignored. More specifically, the call:
returns only the echelon matrix E but not the transformation matrix T, so that T*M=E, when M is over a finite field. Is there any workaround? Can I get the transformation matrix over ZZ and then reduce it over the finite field? Any advice is much appreciated. Thanks, Boyan |
2019-10-19 08:38:48 +0200 | asked a question | Echelon form over finite fields I need to get the transformation matrix from echelon form reduction over finite fields but I found in the documentation the following statement: The matrix library used for Z/p-matrices does not return the transformation matrix, so the transformation option is ignored. More specifically, the call:
returns only the echelon matrix E but not the transformation matrix T, so that T*M=E, when M is over a finite field. Is there any workaround? Can I get the transformation matrix over QQ and then reduce it over the finite field? Any advice is much appreciated. Thanks, Boyan |