Each equation (or line of the matrix) turns out to be just zero. The determinant of a zero matrix is zero.
Hi,
Im normally ok with these sort of questions but this one has me stumped!
I need to show using row operations that the following determinant = 0
i.e.:
 (yz) (zx) (xy) 
 (zx) (xy) (yz)  = 0
 (xy) (yz) (zx) 
I tried doing it the usual way as you would if the matrix contained number instead of variables, but it ended up becoming very messy and I couldnt help but think there was a better way of doing it.
the horizontal lines :



are supposed be the determinant notation.
Thanks in advance.