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Is the composition of a rotation and a dilation commutative? (In other words, do you obtain the same image regardless of the order in which you perform the transformations?) Justify your answer. | Numerade
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In 3D transformations, dilation and rotation matrices serve distinct but complementary roles. A dilation matrix uniformly scales a vector in all directions by a constant factor, effectively expanding or contracting the object while preserving its shape and orientation—this is represented by multiplying the identity matrix by the scalar factor. In contrast, a rotation matrix in 3D rotates points around a fixed axis (typically x, y, or z) while preserving distances and angles. These rotation matri
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