DistanceMatrix[{{a,b},{c,d}},DistanceFunctionEuclideanDistance]
Out[]=
0,
Abs[
2
Abs[a-c]
+
2
Abs[b-d]
]
,
Abs[
2
Abs[a-c]
+
2
Abs[b-d]
]
,0
In[]:=
DistanceMatrix[{{a,b},{c,d}},DistanceFunctionSquaredEuclideanDistance]
Out[]=
{{0,Abs[
2
Abs[a-c]
+
2
Abs[b-d]
]},{Abs[
2
Abs[a-c]
+
2
Abs[b-d]
],0}}