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enlargment
k 0 0 k
refleciton in the xaxis
1 0 0 -1
rotation 90 clockwise
0 1 -1 0
reflection in the yaxis
-1 0 0 1
rotation 90 anticlockwise
0 -1 1 0
reflection in the line y=x
0 1 1 0
rotation 180 around the origin
-1 0 0 -1
reflection in the line y=-x
0 -1 -1 0
stretch parallel to xaxis
k 0 0 1
stretch parallel to yaxis
1 0 00 k
shear parallel to xaxis
1 k 0 1
shear parallel to yaxis
1 0 k 1