data = [
  0 2 5 1
  -6 3 2 -3
  1 4 7 -2

  2 2 1 1
  0 3 1 -3
  5 4 0 -2

  0 8 10 1
  -6 12 4 -3
  1 16 14 -2

  1 2 5 1
  5 3 11 -3
  -6 4 2 -2

  1 2 2 -2
  5 3 3 6
  -6 4 1 4
]

for i=1:5  # all questions
  # does a+bs = c+dt have a solution?
  a = data((1:3)+(i-1)*3,1);
  b = data((1:3)+(i-1)*3,2);
  c = data((1:3)+(i-1)*3,3);
  d = data((1:3)+(i-1)*3,4);
  M = [-a+c b d];
  disp(det(M));
end

%{ This is the output:

>> isctq
data =

    0    2    5    1
   -6    3    2   -3
    1    4    7   -2
    2    2    1    1
    0    3    1   -3
    5    4    0   -2
    0    8   10    1
   -6   12    4   -3
    1   16   14   -2
    1    2    5    1
    5    3   11   -3
   -6    4    2   -2
    1    2    2   -2
    5    3    3    6
   -6    4    1    4

 40
 47
 92.000
0
 146
>>

%}