comparing determinants of matrixes: rows changed to columns

[defeated_soldier]

are these D1 and D2 same ?
how to check ?
is there some easy checking rule ?
i read converting rows to column does not alter determinant value....but there are some sign stuff ...is not it.

this thing is complex.

can you please simplify this concept.

thanks

 

[skeeter]

for D1, use the elements in the first column and evaluate the determinant using the associated minors for each element ...

|D1| = x1(y2 - y3) - x2(y1 - y3) + x3(y1 - y2)

for D2, use the elements in the first row and evaluate the determinant using the associated minors for each element ...

|D2| = x1(y2 - y3) - x2(y1 - y3) + x3(y1 - y2)

you get the same determinant.