1.
If [⋅][\cdot] denotes the greatest integer less than or equal to the real number under consideration and −1≤x<0-1 \le x < 0, 0≤y<10 \le y < 1, 1≤z<21 \le z < 2, then the value of the determinant
∣[x]+1[y][z][x][y]+1[z][x][y][z]+1∣\begin{vmatrix} [x]+1 & [y] & [z] \\ [x] & [y]+1 & [z] \\ [x] & [y] & [z]+1 \end{vmatrix}

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