Processing math: 100%
1
\left(\begin{array}{ccc}\cos\!\left(\theta_{r,1}+
\theta_{r,2}+\psi_{b}\right)&\sin\!\left(\theta_{r,1}
+\theta_{r,2}+\psi_{b}\right)&x_{b}-\mathrm{L_2}\,
\cos\!\left(\theta_{r,1}+\psi_{b}\right)+
\mathrm{L_1}\,\cos\!\left(\psi_{b}\right)+
\frac{\mathrm{L_b}\,\cos\!\left(\psi_{b}\right)}{2}\\-
\sin\!\left(\theta_{r,1}+\theta_{r,2}+\psi_{b}\right)
&\cos\!\left(\theta_{r,1}+\theta_{r,2}+
\psi_{b}\right)&y_{b}+\mathrm{L_2}\,
\sin\!\left(\theta_{r,1}+\psi_{b}\right)-
\mathrm{L_1}\,\sin\!\left(\psi_{b}\right)-
\frac{\mathrm{L_b}\,\sin\!\left(\psi_{b}\right)}{2}\\0
&0&1\end{array}\right)
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\left(\begin{array}{ccc} \cos\!\left(\theta_{r,1} + \theta_{r,2} + \psi_{b}\right) & \sin\!\left(\theta_{r,1} + \theta_{r,2} + \psi_{b}\right) & x_{b} - \mathrm{L_2}\, \cos\!\left(\theta_{r,1} + \psi_{b}\right) + \mathrm{L_1}\, \cos\!\left(\psi_{b}\right) + \frac{\mathrm{L_b}\, \cos\!\left(\psi_{b}\right)}{2}\\ - \sin\!\left(\theta_{r,1} + \theta_{r,2} + \psi_{b}\right) & \cos\!\left(\theta_{r,1} + \theta_{r,2} + \psi_{b}\right) & y_{b} + \mathrm{L_2}\, \sin\!\left(\theta_{r,1} + \psi_{b}\right) - \mathrm{L_1}\, \sin\!\left(\psi_{b}\right) - \frac{\mathrm{L_b}\, \sin\!\left(\psi_{b}\right)}{2}\\ 0 & 0 & 1 \end{array}\right)