A comprehensive matrices and quaternions FAQ has emerged as a vital resource for 3D graphics programmers. Version 1.21, last updated November 30, 2003, compiles 63 technical questions covering fundamental concepts from matrix operations to quaternion interpolation. The document serves developers working with coordinate transformations and rotation mathematics.

Andreas Junghanns maintains this resource originally hosted at netcom.com, which disappeared from the web. The FAQ addresses practical challenges in 3D programming, including OpenGL matrix representation differences where graphics libraries swap rows and columns compared to standard mathematical notation. Topics span basic matrix arithmetic through advanced quaternion conversions.

The guide tackles common pitfalls like Gimbal Lock (Q34) and provides optimized solutions for rotation matrix calculations. Linear and cubic interpolation methods for both matrices and quaternions help developers create smooth animations. Multiple contributors have refined algorithms over years of revisions.

This FAQ remains relevant for graphics programmers implementing 3D transformations, offering battle-tested algorithms for converting between Euler angles, rotation matrices, and quaternion representations. The document bridges mathematical theory with practical implementation.