Sorry, F=GF(3), I made my original example shorter and didn't read it 
properly. 

So the full problematic code is

B=matrix(GF(3), 2,2,[1,0,1,0], sparse=True)
v=vector(GF(3), [1,1])
B.solve_right(v)

Thanks, 

Robert


On Tuesday, October 8, 2019 at 5:17:59 PM UTC-7, Robert Samal wrote:
>
> I am trying to solve a rather large linear systems of equations of GF(3). 
> As the matrices are sparse, I thought that adding "sparse=True" to the 
> constructor of the matrix could be of help. However, I ran to a strange 
> error message. 
>
> B=matrix(GF(3), 2,2,[1,0,1,0], sparse=True)
> v=vector(F, [1,1])
> B.solve_right(v)
>
> The above code yields the following
>
> TypeError: Cannot convert sage.matrix.matrix_modn_sparse.Matrix_modn_sparse 
> to sage.matrix.matrix_integer_sparse.Matrix_integer_sparse
>
>
> I am hesitant to paste the whole error message here, but it ends with 
> reference to file 
> SageMath/local/lib/python2.7/site-packages/sage/matrix/matrix_modn_sparse.pyx 
> in 
> sage.matrix.matrix_modn_sparse.Matrix_modn_sparse._solve_matrix_linbox 
> (build/cythonized/sage/matrix/matrix_modn_sparse.cpp:11633). 
>
> I am using Sage 8.9, but the same issue was on 8.7 as well. 
>
> Few other observations:
> -- works as expected for dense matrices -- or for sparse ones over integers
> -- the same issue occurs whether y is a vector or a matrix
> -- It behaves the same for systems with no solution.
>
> Is there some hidden limitation of sparse matrices over finite fields? 
> I.e., is it a bug or feature? :-) 
> I tried to RTFM, but couldn't find this discussed. The page for sparse 
> matrices over
> finite fields does not exactly promise the solve method, but it does not 
> mention it 
> would not work either. Is it possible to achieve what I want by other means 
> (in Sage). 
>
> Thanks. 
>
>
>
>
>

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