1
Q
180 degree rotation around origin
A
[-1 0]
[0 -1]
2
Q
Reflection in y-axis (x=0)
A
[-1 0]
[0 1]
3
Q
Reflection in x-axis (y=0)
A
[1 0]
[0 -1]
4
Q
Reflection in y = x
A
[0 1]
[1 0]
5
Q
Reflection in y=-x
A
[0 -1]
[-1 0]
6
Q
a > 0: enlargement of scale factor a around origin
A
[a 0]
[0 a]
7
Q
a > 0, b > 0: 2-way stretch, a parallel to x, b parallel to y
A
[a 0]
[0 b]
8
Q
90 degree rotation anticlockwise around origin
A
[0 -1]
[1 0]
9
Q
90 degree rotation clockwise around origin
A
[0 1]
[-1 0]
10
Q
Shear parallel to x-axis that moves (0, 1) to (k, 1)
A
[1 k]
[0 1]
11
Q
Shear parallel to y-axis that moves (1, 0) to (1, k)
A
[1 0]
[k 1]
12
Q
rotation of θ anticlockwise around origin
A
[cos θ -sin θ]
[sin θ cos θ]
13
Q
rotation of θ clockwise around origin
A
[cos θ sin θ]
[-sin θ cos θ]
