# can't compute the dimension of a set of matrices anyway, so we
# convert them all to vectors and just ask for the dimension of the
# resulting vector space.
# can't compute the dimension of a set of matrices anyway, so we
# convert them all to vectors and just ask for the dimension of the
# resulting vector space.
vectors = map(phi,spanning_set)
V = span(vectors, A.base_ring())
vectors = map(phi,spanning_set)
V = span(vectors, A.base_ring())