Well, the "determinants" would be different but, yes, you can expand a determinant along any row or column.
Hi Folks,
I was looking at Chris's brill tutorial particularly the Wronskian in example 11 post # 4.
Hes seems to have taken the (1,1) times the determinant - (2,1) times the determinant +(3,1) times the determinant.
Is this equivalent to (1,1) times the determinant -(1,2) times the determinant +(1,3) times the determinant?
Thanks
In this case, Chris's choice is a good one, because he might get some cancellation going on fairly early in the process, which is what happened. Looking at the symmetries of that particular Wronskian, it seems like the first column is the way to go. Normally, I would pick the row or column that has the most zeros in it, but with a Wronskian, you're unlikely to have zeros.