In[]:=
R
1
={{1,0,0},{0,Cos[
θ
1
[t]],Sin[
θ
1
[t]]},{0,-Sin[
θ
1
[t]],Cos[
θ
1
[t]]}};​​
R
2
={{1,0,0},{0,Cos[
θ
1
],Sin[
θ
1
]},{0,-Sin[
θ
1
],Cos[
θ
1
]}};​​D[
R
1
,t]​​D[
R
2
,t]​​D[
R
2
]
Out[]=
{{0,0,0},{0,-Sin[
θ
1
[t]]
′
θ
1
[t],Cos[
θ
1
[t]]
′
θ
1
[t]},{0,-Cos[
θ
1
[t]]
′
θ
1
[t],-Sin[
θ
1
[t]]
′
θ
1
[t]}}
Out[]=
{{0,0,0},{0,0,0},{0,0,0}}
Out[]=
{{1,0,0},{0,Cos[
θ
1
],Sin[
θ
1
]},{0,-Sin[
θ
1
],Cos[
θ
1
]}}
​
​