I'm happy with the proof that any odd ordered matrix's determinant is equal to zero. However, I am failing to see how it can be done specifically for a 3x3 matrix using only row and column interchanging.
I have attached the determinant as an image
The Attempt at a Solution
So my attempt was to try and collect a row of zeros via interchanging rows/columns. However it seems to be me that trying to move a zero into position by moving its row/column then affects the row/column containing another zero and so I can't ever get them into the same row.