Calculating 3D Rotation Matrix using Euler and Tait-Bryan Angles/Matrices

1. The following gives All 48 Possible Configurations for Calculating 3D Rotation Matrix By Multiplying Elementary Rotation Matrices corresponding to the Euler / Tait-Bryan Angles.
   
   The \(\alpha\), \(\beta\) and \(\gamma\) are the Counter Clockwize and Clockwize Angles of Rotation corresponding to the \(X\), \(Y\) and \(Z\) Axis respectively.