Set:

n = 100000
A = matrix(QQ, n, 1, range(n))
B = A.sparse_matrix()
v = vector((0,))

The  trivial calculation

sol = A.solve_left(v)

instantly yields a solution (the all 0 vector), while

sol = B.solve_left(v)

takes forever ... !!! I haven't looked at the implementation, but it seems 
to me that there is a highly inefficient handling of sparse matrices.

-- Peter Mueller

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