Tensorprodukt/R/Rechnung/4/Aufgabe/Lösung

Es ist

${}{\begin{aligned}&\,\,\,\,\,\,\,{\begin{pmatrix}6\\-7\end{pmatrix}}\otimes {\begin{pmatrix}-7\\3\\-3\end{pmatrix}}\otimes {\begin{pmatrix}-5\\4\end{pmatrix}}\\&=\left(6e_{1}-7e_{2}\right)\otimes \left(-7e_{1}+3e_{2}-3e_{3}\right)\otimes \left(-5e_{1}+4e_{2}\right)\\&=210e_{1}\otimes e_{1}\otimes e_{1}-168e_{1}\otimes e_{1}\otimes e_{2}-90e_{1}\otimes e_{2}\otimes e_{1}+72e_{1}\otimes e_{2}\otimes e_{2}+90e_{1}\otimes e_{3}\otimes e_{1}-72e_{1}\otimes e_{3}\otimes e_{2}\\&\,-245e_{2}\otimes e_{1}\otimes e_{1}+196e_{2}\otimes e_{1}\otimes e_{2}+105e_{2}\otimes e_{2}\otimes e_{1}-84e_{2}\otimes e_{2}\otimes e_{2}-105e_{2}\otimes e_{3}\otimes e_{1}+84e_{2}\otimes e_{3}\otimes e_{2}.\,\end{aligned}}$

Zur gelösten Aufgabe