In[11]:= Dot @@ {m1, m2, m3} Out[11]= m1.m2.m3
Dot
In[9]:= Dot[{{a, b}, {c, d}}, {{e, f}, {g, h}}, {{i, j}, {k, l}}] Out[9]= {{(a e + b g) i + (a f + b h) k, (a e + b g) j + (a f + b h) l}, {(c e + d g) i + (c f + d h) k, (c e + d g) j + (c f + d h) l}}
If a, b and c are matrices, of the form {{x...},{y...},...}, matrix products are given simply by
a.b.c
