Basic Examples

The sum of a two-dimensional subspace and a three-dimensional subspace of
4

:
[◼]
SumBasis
[{{1,1,1,1},{2,2,3,4}},{{2,3,4,7},{1,0,1,0},{0,1,0,3}}]
In[]:=
{{1,1,1,1},{2,2,3,4},{2,3,4,7},{0,1,0,3}}
Out[]=
The sum of a subspace and a subspace of the subspace:
[◼]
SumBasis
[{{1,1,1,1},{2,2,3,4}},{{3,3,5,7}}]
In[]:=
{{1,1,1,1},{2,2,3,4}}
Out[]=
A sum of three subspaces:
[◼]
SumBasis
[{{1,1,1,1,1},{1,2,3,4,5}},{{1,0,1,0,1},{0,1,0,3,1}},{{1,1,1,3,2},{2,3,4,5,6}}]
In[]:=
{{1,1,1,1,1},{1,2,3,4,5},{1,0,1,0,1},{0,1,0,3,1}}
Out[]=