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Commutativity
Multiplying matrices is not commutative
Identity matrix
[ 1 0
0 1 ]
Enlargement k about the origin
[ k 0
0 k ]
Reflection in x axis
[ 1 0
0 -1 ]
Reflection in y axis
[ -1 0
0 1 ]
Reflection in line y=x
[ 0 1
1 0 ]
Reflection in line y=-x
[ 0 -1
-1 0 ]
Rotation 90° clockwise about the origin
[ 0 1
-1 0 ]
Rotation 90° anticlockwise about the origin
[ 0 -1
1 0 ]
Rotation 180° clockwise about the origin
[ -1 0
0 -1 ]