reflection in x-axis
1 0
0 -1
reflection in y-axis
-1 0
0 1
Reflection in y=x
0 1
1 0
Reflection in y=-x
0 -1
-1 0
Rotation
Cosx -sinx
Sinx cosx
3d reflection in x=0
-1 0 0
0 1 0
0 0 1
3d reflection in y=0
1 0 0
0 -1 0
0 0 1
3d reflection in z=0
1 0 0
0 1 0
0 0 -1