What is the determinant of the coefficient matrix of the system? 0 x plus 0 y minus 0 z is equal to 3 0 x plus 0 y plus 0 z is equal to negative 1 0 x plus 0 y plus 0 z is equal to 18

The coefficient matrix contains the coefficients of x, y, and z in each equation. Since all of them are 0, the matrix is [[0, 0, 0], [0, 0, 0], [0, 0, 0]]. A matrix with an all-zero row has determinant 0, so the answer is B, 0.

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