Hi,

How to calculate a determinant if the coefficients are not linear? This confuses me because the determinant map is an alternating k-multilinearmap.

Something like:

$\displaystyle det(\begin{pmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2 \end{pmatrix})$

in the third row are the coefficients quadratic andnotlinear. I guess I am not allowed to use the rules I know, for example Sarrus rule.

thanks

greetings