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In this document, the topic at hand is Arnold's transformation in Matlab. Arnold's transformation is a type of chaotic transformation that can be used to scramble and unscramble digital images. In addition to the forward transformation, we will also discuss the inverse transformation and how it can be implemented in Matlab. Furthermore, we will delve into the calculation of periods in the Arnold transformation, which is a key component in understanding the behavior of chaotic systems. By the end of this document, you will have a better understanding of Arnold's transformation, its applications in digital image processing, and how it can be implemented in Matlab.