行列式の計算です
   | X  1  1 |    | 0   1-x  1-x^2 |
   | 1  X  1 |  = |0   x-1    1-x | = |1-x  1-x^2 |
   | 1  1  X |    | 1    1    1-x  |   | x-1  1-x  |
 =  (x-1)^2 | -1  -x-1 | =  (x-1)^2・(x+2)
            |  1     -1 |