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Graphics Programming with GDI+ by Mahesh Chand

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10.10. The Significance of Transformation Order

The Matrix object can store a single transformation or a sequence of transformations. As we learned in Section 10.5, a sequence of transformations is called a composite transformation, which is a result of multiplying the matrices of the individual transformations.

In a composite transformation, the order of the individual transformations is very important. Matrix operations are not cumulative. For example, the result of a Graphics → Rotate → Translate → Scale → Graphics operation will be different from the result of a Graphics → Scale → Rotate → Translate → Graphics operation. The main reason that order is significant is that transformations like rotation and scaling are done with respect to the ...

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