If denotes the greatest integer less than or equal to the real number under…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If [⋅][ \cdot ] denotes the greatest integer less than or equal to the real number under consideration and −1≤x<0,0<y<1,1≤z<2-1 \le x < 0, 0 < y < 1, 1 \le z < 2 , 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} is (1) [x][x] (2) [y][y] (3) [z][z] (4) None of these

Related theory

Browse the problem library