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