if we have the following matrix

2 1 0 0

3 2 0 0

1 1 3 4

2 -1 2 3 and we want to calculate the determinant .shouldn't in any correct way of calculation obtain the same value of determinant?

if we change the 4th column by making c4----- 3c4 -4c3 we will have determinant =3

if we change the 3rd column by making c3--------- 4c3- 3c2 we will have determinant= 4

if we change in lines we will have determinant = 1