#19165: Error in augmentation for mod 2 matrices
------------------------------+----------------------------
   Reporter:  jhpalmieri      |            Owner:
       Type:  defect          |           Status:  new
   Priority:  major           |        Milestone:  sage-6.9
  Component:  linear algebra  |         Keywords:
  Merged in:                  |          Authors:
  Reviewers:                  |  Report Upstream:  N/A
Work issues:                  |           Branch:
     Commit:                  |     Dependencies:
   Stopgaps:                  |
------------------------------+----------------------------
 {{{
 sage: reduce(lambda x,y: x.augment(y), [identity_matrix(GF(2),
 1).sparse_matrix()], Matrix(GF(2), 1, 0))
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <ipython-input-29-60d532a77af9> in <module>()
 ----> 1 reduce(lambda x,y: x.augment(y), [identity_matrix(GF(Integer(2)),
 Integer(1)).sparse_matrix()], Matrix(GF(Integer(2)), Integer(1),
 Integer(0)))

 <ipython-input-29-60d532a77af9> in <lambda>(x, y)
 ----> 1 reduce(lambda x,y: x.augment(y), [identity_matrix(GF(Integer(2)),
 Integer(1)).sparse_matrix()], Matrix(GF(Integer(2)), Integer(1),
 Integer(0)))

 
/Users/palmieri/Desktop/Sage_stuff/git/sage/src/sage/matrix/matrix_mod2_dense.pyx
 in sage.matrix.matrix_mod2_dense.Matrix_mod2_dense.augment
 (build/cythonized/sage/matrix/matrix_mod2_dense.c:11113)()
    1576             right = right.column()
    1577
 -> 1578         cdef Matrix_mod2_dense other = right
    1579
    1580         if self._nrows != other._nrows:

 TypeError: Cannot convert
 sage.matrix.matrix_modn_sparse.Matrix_modn_sparse to
 sage.matrix.matrix_mod2_dense.Matrix_mod2_dense
 }}}
 This arises if you construct a `FiniteDimensionalAlgebra` over `GF(2)`
 using a list of sparse matrices, and then run `.is_unitary()` on it:
 {{{
 sage: A = FiniteDimensionalAlgebra(GF(2), [identity_matrix(GF(2),
 1).sparse_matrix()])
 sage: A.is_unitary()
   (same error)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/19165>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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