Example 2.7

R1 = rZ[30 Degree] ; R1 // Nice

( Sqrt[3] 1 ) ------- -- 2 2 ... [3] - ------- 2 2 0 0 0 1

R2 = rX[30 Degree] ; R2 // Nice

( ) 1 0 0 ... 1 Sqrt[3] - ------- 0 2 2

R12 = R1 . R2 ; R12 // Nice

( Sqrt[3] Sqrt[3] 1 ) ------- -------- - ... 1 Sqrt[3] - ------- 0 2 2

R21 = R2 . R1 ; R21 // Nice

( Sqrt[3] 1 ) ------- -- 2 2 ... Sqrt[3] Sqrt[3] - ------- ------- 4 4 2

R21  R12

False

Created by Mathematica  (September 7, 2003)