# a matrix with non zero determinant

I have an 15*15 matrix and its determinant is equal to zero. I want to switch columns or/and rows in order to make its determinant non-zero. Is it possible? Here is the matrix

1,  0,  0,  1,  2,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0;
1,  1,  1,  0,  0,  0,  1,  0,  2,  0,  0,  0,  0,  0,  0;
1,  0,  0,  0,  0,  0,  1,  1,  2,  0,  0,  0,  0,  0,  0;
1,  1,  0,  1,  0,  0,  0,  0,  0,  0,  0,  1,  0,  1,  0;
2,  0,  0,  0,  0,  0,  0,  2,  0,  1,  0,  0,  0,  0,  0;
2,  2,  2,  0,  0,  0,  0,  0,  0,  1,  0,  0,  0,  0,  0;
2,  0,  0,  2,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0;
3,  3,  3,  0,  0,  0,  1,  0,  0,  0,  0,  0,  0,  0,  0;
0,  1,  1,  1,  0,  0,  0,  0,  0,  0,  1,  0,  0,  0,  2;
0,  0,  0,  1,  0,  0,  0,  0,  0,  0,  1,  0,  0,  0,  3;
1,  0,  0,  1,  4,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0;
1,  1,  1,  1,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0;
0,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0,  1,  0,  2,  0;
0,  2,  2,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0;
0,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  1,  0,  0