This particular arrangement of matrices is significant because it allows for the transformation of points in a three$-$dimensional space.$\left[\begin{array}{cccc}0\mathrm{.}5& \frac{\sqrt[\phantom{2}]{3}}{2}& 0& 0\\ -\frac{\sqrt[\phantom{2}]{3}}{2}& 0\mathrm{.}5& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& \frac{\sqrt[\phantom{2}]{2}}{2}& \frac{\sqrt[\phantom{2}]{2}}{2}& 0\\ 0& -\frac{\sqrt[\phantom{2}]{2}}{2}& \frac{\sqrt[\phantom{2}]{2}}{2}& 0\\ 0& 0& 0& 1\end{array}\right]\left[\begin{array}{cccc}\frac{\sqrt[\phantom{2}]{3}}{2}& -0\mathrm{.}5& 0& 0\\ 0\mathrm{.}5& \frac{\sqrt[\phantom{2}]{3}}{2}& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& \frac{\sqrt[\phantom{2}]{2}}{2}& -\frac{\sqrt[\phantom{2}]{2}}{2}& 0\\ 0& \frac{\sqrt[\phantom{2}]{2}}{2}& \frac{\sqrt[\phantom{2}]{2}}{2}& 0\\ 0& 0& 0& 1\end{array}\right]\left[\begin{array}{cccc}0\mathrm{.}5& -\frac{\sqrt[\phantom{2}]{3}}{2}& 0& 0\\ \frac{\sqrt[\phantom{2}]{3}}{2}& 0\mathrm{.}5& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]$