From: 3blue1brown
Three-dimensional (3D) matrix multiplication holds significant importance in fields such as computer graphics and robotics [00:03:44]. This is particularly true for describing complex operations like rotations in three dimensions, which can otherwise be challenging to define [00:03:48].
Instead of directly describing intricate 3D rotations, they can be more easily understood by breaking them down into a composition of separate, simpler rotations [00:03:52]. This decomposition leverages the power of matrix multiplication to represent successive transformations, making complex movements manageable in practical applications.