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Mathematik-Online problems:

Problem 546: Composition of Rotations

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Give

\begin{displaymath}Q= \frac{1}{2}\left( \begin{array}{ccc} 1 & \sqrt{2} & -1 \\ ... ...-\sqrt{2} & -1 \\ \sqrt{2} & 0 & \sqrt{2} \end{array} \right) \end{displaymath}

as a product $ Q=Q_zQ_yQ_x$, with $ Q_x, Q_y, Q_z$ rotations about the $ x$-, $ y$- respectively $ z$-axis.
(Authors: Höllig/Höfert)

see also:

  automatisch erstellt am 12.  3. 2018