Recent content by Erithacus

Okay, I see. Can I get around that or do I have to use a completely different approach to show what I want to show? Could I use the Levi-Civita symbol and do it all in components?

Thank you for answering! My thought was, that to get ##a_{11}## I could do the multiplication ## a_1 \cdot e_1 = \begin{pmatrix} a_{11} \\ a_{21} \\ a_{31} \end{pmatrix} \cdot \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix} = a_{11} ## And for the first row in the cross product I do the same...

The determinant of a 3x3 matrix can be interpreted as the volume of a parallellepiped made up by the column vectors (well, could also be the row vectors but here I am using the columns), which is also the scalar triple product. I want to show that: ##det A \overset{!}{=} a_1 \cdot (a_2 \times...

Is it here you are supposed to introduce yourself? This is me. I study physics at undergraduate level in Berlin (started one year ago). I thought it would be interesting to take part in a forum in the English language, because then I learn the correct English termina as well. And I often have...