The order in which transformations occur can lead to different results – for example a reflection in the x-axis followed by clockwise rotation of 90° is different to rotation first, followed by the reflection.
Therefore, when one transformation is followed by another order is critical.
e.g. if one transformation doubles the area then three applications will increase the (original) area eight times (23)
The matrix E represents an enlargement with scale factor 0.25, centred on the origin.
The matrix R represents a rotation, 90° anticlockwise about the origin.
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