Basic Examples (4)
Basic Examples
(4)
The intersection of two three-dimensional subspaces of :
4
In[245]:=
Out[245]=
{{2,1,0,5},{-1,2,5,0}}
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Two subspaces are called disjoint if their intersection is the trivial space, and a basis for the trivial subspace is the empty list. These two subspaces are disjoint:
In[246]:=
Out[246]=
{}
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All vectors in the lists must have the same size:
In[247]:=
Out[247]=
$Failed
———
Again, the vectors in the list must have the same size; the sizes of the vectors in the second list are 4 and 0:
In[248]:=
Out[248]=
$Failed
Compare with the following. The first list has two elements, the second has one, and the third also has one:
In[249]:=
Out[249]=
{}